Questions on Geometry: Triangles answered by real tutors!

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Question 489606: the altitude of a triangle is 4m longer than the base. If its area is 126 square meter, find the length of the altitude.
can somebody answer this problem..thank you!

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Question 489752: how does a person prove that triangles are similar?

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Question 489725: I have a triangle with sides of 1 and a side of SQRT(2), with an angle of 45° and an angle of 90°. Which of the following would be congruent to it? (You will need to use what you've learned about triangles and angle / side relations, as well as your knowledge of the rules of congruence to fill in the gaps and answer the question. Sketches may be helpful.)
A a triangle with a side of 1, then an angle of 90°, and a side of 1
B a triangle with a side of 1, then an angle of 90°, then a side of SQRT(2)
C a triangle with the angles 45°, 45°, 90°
D a triangle with sides of 1 and 1
E a triangle with a side of 1, then an angle of 45°, then a side of 1
F a triangle with an angle of 90°, then a side of SQRT(2), then an angle of 45°

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Question 490320: A triangle has sides a=4 and b=6 and C= 60 degrees. Find the length of c ( I need help with my homework problem)
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Question 490397: if i have a triangle with sides 40cm, 32cm, and 15.3cm and an angle of 112 degrees where the 32cm side and 15.3cm side meet, what is the measure of the angle opposite of the side that is 15.3cm?
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Question 490388: Petra drew an equilatarol triangle each side was 8 centimeters long what is the perimeter of petra's triangle?
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Question 490221: The perimeter of a parallelogram is 72 ft and its length is 9 ft. The length of the other side is _____ ft.

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Question 490090: triangle has coordinates A(-5, 1) B(-2, 5) and C(1,1). Find the area of the triangle and its perimeter.
Please answer by tonight I have a quiz tomorrow

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Question 489966: What is the area of triangle ABC when the ∝ is 45 degrees?
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Question 489934: classify the triangle by itsangle measures 43 deggress 47 deggress 90 deggress

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Question 489920: an isosceles triangle with a base of 5cm has a perimeter of 30cm. how long are each of the other two sides
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Question 489878: how to find a side of four lengths and with each length aren't not the same length
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Question 489832: WHAT IS THE PERIMETER OF AN EQUILATERAL TRIANGLEWHOSE HEIGHT IS 2.33
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Question 489726: We are trying to measure the height of a building. We have a 1-meter long stick. When we set it on the ground, its shadow is 3 meters long. When we measure the shadow of the building, it is 57 meters long. How high is the building?
A 27 m
B 40 m
C 22 m
D 26 m
E 19 m
F 30 m

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Question 489679: The triangles have the same perimeter. the first triangles measurements are X+3,X+3,X+3
The second triangle X+3,X,2X-3
What is the value of X?

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Question 489651: The measure of one of the acute angles in a right triangle is 42. What is the measure of the other acute angle in the triangle?

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Question 489482: A triangular garden has an area of 108sq ft. Its height is 6ft more than its base. Find the measure of the base
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Question 490710: if a=4b and c=5b what is the value of c
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Question 490728: Hypotoneuse Headaches! Please help me! I cannot figure these out. Been wrong 4 times...
1. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the remaining side (in inches)?
2. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the hypotenuse (in inches)?
3. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the shortest side (in inches)?


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Question 490728: Hypotoneuse Headaches! Please help me! I cannot figure these out. Been wrong 4 times...
1. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the remaining side (in inches)?
2. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the hypotenuse (in inches)?
3. The hypotenuse of a right triangle is 16 in. longer
than the shortest side and 2 in. longer than the remaining side. Find the dimensions of this triangle. What is the length of the shortest side (in inches)?


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Question 490882: The side of an isosceles right triangle of hypotenuse 4root2cm is ?
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Question 490823: what is a triangle conruents?
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Question 1375: obtuse isosolese triangle angles 120/30/30.equal legs 7.what is formula to determine third (longest leg/base)?
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Question 2999: Okay I had a problem on a test for Intermediate Algebra-
I had to find all 3 angles in degrees for a triangle.
The problem was that the smaller angle is half of the larger angle and that the second angle is 25 degrees less than the larger angle.
What is the measure of the larger angle? (and other angles)
Thanks for anyone who can key me in here...I got something completley wrong
x1 (smaller angle)= 28 degrees
x2 (medium angle)= 68 degrees
x3 (larger angle)= 84 degrees
But my answer is all wrong because 68 is not 25 less than 84 and 28 is not half of 84....so very confused =/

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Question 491082: abc is similar to def.what is the length of df?
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Question 489235: Does two sides of a triangle can never have the same length?
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Question 491112: write an algebraic equation for the given verbal expression. the perimeter of a rectangle whose width is X and whose length is three times the width.
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Question 491281: The smallest angle of a scalene triangle is 2/3rd the size of the middle angle, and the middle angle is 3/7th of the largest angle. Find measure of the largest angle.
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Question 491280: The longest side of a triangle is 16 less than the sum of the other two. The shortest side is three times the difference of the other two. The Perimeter is 150. Write the system of equation.
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Question 491334: Two sides of a triangle are sqrt(3) and sqrt(2) units.The medians to these sides are perpendicular to each other.Find the length of the third side.
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Question 491560: A company is planning to introduce a new product. The company estimates that $500 worth of
new equipment will be needed to manufacture this new type of product and that it will cost $15
per item to manufacture. The company also estimates that the revenue from each item will be $31.
Find the number of items that the company needs to produce and sell in order to break-even.
i just need to know how to set the problem up.
i had 500=15x+y
but after that i realized that im wrong.

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Question 491577: How do you find the height of triangle whose base is 44cm and sides Are 38cm and 30cm?
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Question 491577: How do you find the height of triangle whose base is 44cm and sides Are 38cm and 30cm?
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Question 491584: how do you figure perimiter demensions if no sides are given?
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Question 491619: The height of a triangle is 18.6 meters. Its area is 46.6 square meters. Find the length of the triangle's base

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Question 491557: The perimeter of a triangle is 126 units. The length of one side is twice the length of the shortest
side. The length of the third side is fourteen more than the length of the shortest side. Find the
length of the sides of the triangle.

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Question 491672: In "triangle DEF", m
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Question 491552: how can you find the measure of the angle labled x?
the triangle is obtuse and has three points DUHH! the one point it a algebraic equation. 3x-5 degrees? how would i find the angle x so i can find the other two points??

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Question 491157: the height of a right triangle is 6 inches longer than the base. The area of the triangle is 108 sq. in. Find the measure of the triangle's base and height?
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Question 491922: if the value of base is (x+16) inches and the height is (x+9) inches. the area of the triangle is 130 inches. then what is the value of x in the base and in the height?

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Question 491996: The hypotenuse of a right triangle is 3cm longer than twice the length of the shorter leg. The longer leg measures 12 cm. Find the lengths of the shorter leg and the hypotenuse.
I've tried setting up an equation for this problem but it's not working.
The equation I've tried is
But it's still not working.
Can you please help me with this problem with an explanation please.
Thank You So Much!

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Question 491981: Find its area.
A = (-2, 5); B = (1, 3); C = (-1, 0)

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Question 491967: triangle ABC is similar to triangle DEF whose sides are 3,7,and 6. What is the perimeter of triangle ABC?
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Question 491950: The perimeter of a triangle is 30 cm.Two sides are equal in length and the third side is half as long as one of the equal sides.Find the length of the sides of the triangle.

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Question 491915: a)write formula for function. b) use the formula to find the indicated value of the function.
the height (h) of an equilateral triangle as a function of its side length (s); the height of an equilateral triangle of the side length 3m.

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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645, 12646..12690