Questions on Geometry: Triangles answered by real tutors!

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Question 860576: A theorem regarding proportional line segments states that if a line is parallel to one side of a triangle, then it divides the other 2 sides proportionally. What does it mean that it divides the other 2 sides proportionally?
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Question 860615: In triangle ABC, A = 75�, b = 20, and c = 30. Find side a
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Question 860839: the longest side of a triangle is measures 267m. If two angles are 37� and 48�, find the shortest side of the triangle
Click here to see answer by josgarithmetic(39616)

Question 861379: Hi! Can you please help me solve this problem?
I need to find the area of a right angled triangle involving surds. The points are A, B & C. The height of this triangle is √5+3/2 and the length is 2. How would I work this out? I know I have to use this formula: 1/2 x base x height,but the surds are confusing me.
Thank you so much in advanced!
Click here to see answer by richwmiller(17219)

Question 861528: Calculate the area of a rhombus with vertices A(0,-5), B(9,2), C(12,13), and D(2,7) to the nearest tenth of a unit.
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Question 861626: Assume that the "20" in Figure 9.23 is actually 16. Use this fact to find both the perimeter and area of the isosceles triangle in Figure 9.23. (The base is 10 units, and the height is 16 units.) Suggestion: First use the Pythagorean theorem to find the lengths of the unknown sides of the triangle.
Click here to see answer by richard1234(7193)

Question 861002: I have drawn a triangle. It has one right angle and one side is 1 inch long. Suzie says; My triangle will be congruent to yours, because all triangles that have those three properties must be congruent.
Is Suzie correct that these properties will be congruent? Explain why?
Click here to see answer by richard1234(7193)

Question 861674: In a right triangle the lengths of two of the sides are respectively 28 and 53. If the length of the third side is a whole number, find the length of the third side.
Click here to see answer by Alan3354(69443)

Question 861683: the height of a triangle is 4 inches less than twice its base. The area is 48 sq inches. What is the base?
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Question 861843: I have one right angle and 2 of my sides are congruent in length. Who am I?
Click here to see answer by ewatrrr(24785)

Question 861972: can 13cm and 12cm be a triangle yes or no

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Question 862062: In the 30�-60�-90� triangle above, y = 6. Find the other two lengths
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Question 862214: A right triangle has legs of length 10 feet and 13 feet. What is the area of the triangle?
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Question 862214: A right triangle has legs of length 10 feet and 13 feet. What is the area of the triangle?
Click here to see answer by richwmiller(17219)

Question 862269: If a triangle has a side of 10 inches and a side of 4 inches, the length of third side must be greater than how many inches
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Question 862272: In any triangle, the length of the longest side is less than half of the perimeter. All triangles with perimeter 57 and integer side lengths x,y,z, such that x < y < z are constructed. How many such triangles are there?
A: 68
B: 61
C: 75
D: 56
E: 27
Click here to see answer by richwmiller(17219)

Question 862621: please help me in finding the Internal angles of a Triangle when the external angle is given as 75
Click here to see answer by rothauserc(4718)

Question 862610: if a trinagle has 2 side lengths of 9 and 12,what are the possible range of lengths for the third side?
Click here to see answer by Alan3354(69443)

Question 862511: Find Area of triangle whose sides are 62,60,5
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Question 862487: Triangle CBA. CB is 11. BA is x. Angle C is 90�. Angle B is 37�. What is x?
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Question 862670: A triangle with side lengths 3:4:5 is inscribed in a circle of radius 3.what is the area of the triangle?
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Question 862678: Find the area of a figure if each triangle has a height of 3.5 inches and the square has side lengths of 4 inches.
Click here to see answer by Alan3354(69443)

Question 862725: If 2 sides of a triangle measure 8cm and 11cm, then what is the measurement of the third side?
Click here to see answer by josgarithmetic(39616)

Question 862732: what type of triangle is a triangle with the sides lengths of 37,12 and 34?
thank you!
Click here to see answer by josgarithmetic(39616)

Question 863029: Hi! Can you please help me with this problem?
It's pretty simple, from what I can tell, but I just can't get my head around it - I'm stuck, unfortunately.
I need to work out the areas of a couple right-angled triangle. I know I need to use this formula: 1/2 x base x height. So, using that, how can I work out the area of triangle AEF (base = √5 + 3, height = 1) and triangle CDE (base = √5 + 1, height = √5 + 1/2).
I hope you don't mind that I've added two problems!
Thank you so much for your help in advanced! :)
Click here to see answer by rothauserc(4718)

Question 863109: how do i find the height of a equilateral triangle with the given side of 29 inches
Click here to see answer by richwmiller(17219)

Question 863133: what is the perimeter of a triangle with vertices at (1,1), (-1,5) and (1,7) ????????? help me please
Click here to see answer by ewatrrr(24785)

Question 863133: what is the perimeter of a triangle with vertices at (1,1), (-1,5) and (1,7) ????????? help me please
Click here to see answer by Alan3354(69443)

Question 863406: find the base and height of the triangle if its area is 42cm^2
b= 2x+6
h= x+2
Click here to see answer by ewatrrr(24785)

Question 863514: If the perimeter of the triangle at the right is 14 what is the length of the third side.
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Question 863825: What is the value of an x in a triangle
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Question 863838: What is value of x in triangle
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Question 863980: find the area of a given isosceles trangle with the following vertices: A(2,2), B(10,2), C(6,9)
Click here to see answer by josgarithmetic(39616)

Question 864111: Solve the given equation over the interval [0.2pi) sin^2(x)-(square root of 3)sin(x)+1= cos^2(x)
Click here to see answer by ewatrrr(24785)

Question 864312: Find the height of a triangle that has the points A(1,0) B(5, -6) C(-5,-4)
Click here to see answer by richwmiller(17219)

Question 864346: is it possible to draw an isosceles right triangle with side lengths of 15 20 25? why?
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Question 864346: is it possible to draw an isosceles right triangle with side lengths of 15 20 25? why?
Click here to see answer by ben720(159)

Question 864378: Angle C is 55 degrees. One side of the angle is 8cm and the other is 12cm. How do I find the other 2 angles and the third side?
Click here to see answer by josgarithmetic(39616)

Question 864457: I have a triangle with the number 8 on one side, the number 10 on one side, and the letter x on one side. Is 18 greater than or less than x ? explain
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Question 864605: In a equilateral triangle, using the appropriate formula, find it's perimeter in terms of x. 1 side is 2x
Click here to see answer by Edwin McCravy(20054)

Question 864715: PLEEEASE HEELP!! PLEASE! Show in two ways that the points (6,1) (2,-3) and (4,-5) are the vertices of a right triangle.
Click here to see answer by ewatrrr(24785)

Question 864728: A triangle with sides that measure 78, 17 and 36--what would the degrees of the angles be?
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Question 864766: Find the leg of each isosceles right triangle when the hypotenuse is of the given measure.
Given = 6 square root of 2
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Question 865266: The area of an isosceles triangle is 36 square inches. The ratio of the lenght of the base to its height is 2:1. What is the perimeter of the triangle? Thank you so much !
Click here to see answer by josgarithmetic(39616)

Question 865290: The measure of one angle of a triangle ranges from 50 degrees to 60 degrees. The second angle has a measure ranging from 90 to 100 degrees. How do I find the range of the possible measurements of the third angle?
Click here to see answer by Alan3354(69443)

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