Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 1137442: How can I solve this exercise?
Suppose A=30∘ and b=10. Then there is one value of a that is less than b and for which there is a unique triangle with the data A, a, and b. That value of a is?
Click here to see answer by greenestamps(13198)

Question 1137452: Tenille and Jana were asked to determine if a triangle on a coordinate plane is a right triangle. Tenille said that she was going to check the slopes of the two shorter sides to see if they were perpendicular. Jana said that she
was going to use the distance formula and use the converse of the Pythagorean theorem. Which student is correct?
im guessing Jana would be correct so she can have the distance between the sides and at the same time can also figure out if they are perpendicular or not.
Click here to see answer by ikleyn(52775)

Question 1137725: Which is the range of possible values for x if g f equals 15, h f equals 13, and g h equals x ? I know that I should sketch a triangle, but I can't seem to figure out the range for the last side (in this case the hypotenuse, which should be the largest side)
Click here to see answer by ikleyn(52775)

Question 1138457: 1. Find the largest angle of the triangle whose sides are of length 2cm, 4cm,
5cm.
2. If sin x =3/5 and x is acute,find the value of tan 2x and tan x/2.
3. Find all the angles 0° and 360° whose sine is +.5.
4. Find all the angles between 0° and 360° whose tangent is 1.5.
5. By means of a right-angle isosceles ∆, deduce that
Sin 45°=cos45°=1/√2.
Prove that cos(45°+A)=1/√2(cosA-sinA) and sin(45°+A)=1/√2(cosA+sinA).
Deduce cos A = 1/√2{cos(45°+A)+sin (45° + A)} and the corresponding result
for sin A.
Click here to see answer by Alan3354(69443)

Question 1138612: Prove: If the base and a leg of one isosceles triangle are congruent to the base and a leg of another isosceles triangle,
then their vertex angles are congruent.
Click here to see answer by ikleyn(52775)

Question 1138788: How do I find the largest possible area of an isosceles triangle if the length of each of the two equal sides is 10 m?
Click here to see answer by josmiceli(19441)

Question 1138788: How do I find the largest possible area of an isosceles triangle if the length of each of the two equal sides is 10 m?
Click here to see answer by ikleyn(52775)

Question 1138788: How do I find the largest possible area of an isosceles triangle if the length of each of the two equal sides is 10 m?
Click here to see answer by greenestamps(13198)

Question 1138874: Given that 2 triangles ABC and DEF are similar, find the missing sides.
Triangle ABC, Point A to B is 3, Point B to C is 5 and Point A to C is 7
Triangle DEF, Point D to E is 6, Point E to F is unknown and Point D to F is unknown.

The notes are confusing and my teacher didn't help much. Just confused me more. Anything will help. Thanks!
Click here to see answer by ikleyn(52775)

Question 1138878: How would you find the line segment of PQ?
PO is 10m, MO is 10m and MN is 4m
Notes are not helpful. The math learning area wasn't much help either so anything will help. Thanks.
Click here to see answer by josgarithmetic(39616)

Question 1138894: Graph the image of triangle RST after a dilation factor of 1/3, centered at the center. R (-6,9) S (9,9) T (-7,-6)
Click here to see answer by MathLover1(20849)

Question 1138985: graph triangle ABC. A (2,5) B (-3,3) C (2,1) and it's image triangle A1 B1 C1 after a dilation with scale factor 2 and center (2,3)

it's the triangle A1 B1 C1 and the dilation i am having issues with. Thank you.
Click here to see answer by greenestamps(13198)

Question 1139026: If the legs are both 6 ft., how long is the hypotenuse (leave an answer in radical form)?

hypotenuse =
Click here to see answer by MathLover1(20849)

Question 1139146: Find the side of a square whose diagonal is of the given measure.
Given = 15 sq root of 2 cm.
a0cm.
Click here to see answer by Boreal(15235)

Question 1139368: Find the perimeter of the triangle whose vertices are the following specified points in the plane.
(0,−10),(1,−3) and (8,−8)

Click here to see answer by MathLover1(20849)

Question 1139378: Nick wants to build an herb garden in the backyard but is only using the area beyond the path running through the yard. How large would the garden be if it is triangular-shaped with two sides of length 15 feet, 28 feet, with a 75° angle between them?
Click here to see answer by ikleyn(52775)

Question 1139377: A triangle has a 3-inch side, a 4-inch side, and a 5-inch side. The altitude drawn to the 5-inch side cuts this side into segments of what lengths?
Click here to see answer by greenestamps(13198)

Question 1139526: Triangles ABC and DEF are similar.
Find the perimeter of triangle DEF. (Assume b = 4 cm, c = 5 cm, d = 12 cm, and f = 10 cm.)
Click here to see answer by ikleyn(52775)

Question 1139636: triangle fgh if g is 33.5 degrees and h is 127 degrees what is f degrees
Click here to see answer by josgarithmetic(39616)

Question 1139697: In triangle ABC, the measure of angles A and B are in the ratio 1:3. Angle C is 5 degrees more than Angle A. Find the number of degrees of each angle. [Only an algebraic solution will be accepted]

Click here to see answer by josmiceli(19441)

Question 1139696: triangle ABC is a right triangle. Sides AB and BC form the fight angle. The equation of the line is representing side AB is 4x+8y=16. If C is located at point (1,-3) What is the equation of the line representing side BC?
Click here to see answer by greenestamps(13198)

Question 1139762: Dilate the triangle with a scale factor of 2 and the center is (2,3)
Point A (2,4) Point B (-3,3) Point C (2,-2)
Click here to see answer by greenestamps(13198)

Question 1139806: school is 6 miles east of your house. The park is b miles south of your house. When you are at the park, you are 8 miles from school. How far is the park from your house? Can you show how to do this in steps. Round to the nearest hundredth if necessary.
Click here to see answer by ikleyn(52775)

Question 1139817: The hypotenuse of a right triangle 45 inches, with one of the sides being 18 inches. Find the missing side length. Round to the nearest hundredth if necessary. Please explain how you got the answer.
Click here to see answer by josgarithmetic(39616)

Question 1139878: Reflect this triangle over the line y=-x
Point A(2,1) Point B(2,3) Point C(3,1)
Click here to see answer by MathLover1(20849)

Question 1139915: Two sides of a triangle are equal in length, and the third side is 3 inches. If the perimeter is 17 inches, how long are the two equal sides?
Click here to see answer by josgarithmetic(39616)

Question 1139973: Dilate this triangle with a scale factor of 2 and the center is (2,3)
Point A (2,4) Point B (-3,3) Point C (2,-2)

The notes are confusing me, and my teacher wasn't of much help. I am still trying nut any help is greatly appreciated. Thank you!
Click here to see answer by MathLover1(20849)

Question 1139975: Dilate this triangle with a scale factor ½ and center (-2,-5)
Point A (-2,4) Point B (8,-5) Point C (-2,9)

I am confused as hell. I am watching videos and looking at my notes and all and I still am confused as hell. Any help would be greatly appreciated. Thank you!
Click here to see answer by greenestamps(13198)

Question 1139974: Reflect this triangle over the line y=-x
Point A (2,1) Point B (2,3) Point C (3,1)
The notes are confusing me, and I am currently waiting for my teacher to email me back. I am still trying nut any help is greatly appreciated. Thank you!
Click here to see answer by greenestamps(13198)

Question 1140700: The perimeter of rectangle A is 10 cm and its area is 6 cm^2. The perimeter of rectangle B is 20 cm. What is the area of rectangle B assuming these two rectangles are similar?
Click here to see answer by ikleyn(52775)

Question 1140852: two ships A and B left a port with A uniform speed on a bearing 045° and x°respectively with B on a bearing 105° from A .calculate .correct to 1 decimal place :
(a) the value of x
(b) the distance between A and B after 2hours
Click here to see answer by Alan3354(69443)

Question 1140943: The hypotenuse of a right triangle is 24 ft. long. The length of one leg is
22
ft. more than the other. Find the lengths of the legs.
Click here to see answer by josgarithmetic(39616)

Question 1141085: Suppose that triangle DEF can be generated from triangle ABC by some isometry. Also suppose that triangle XYZ can be generated from triangle DEF by some isometry. From this, we can conclude that
ΔABC≅ΔXYZ
.
Click here to see answer by Theo(13342)

Question 1141320: If cos(a) = sin(52°), what is the value of a?
A.28 °
B.38°
C.52°
D.128 °
Click here to see answer by greenestamps(13198)

Question 1141363: which best describes the triangle or triangles if any that can be formed with sides measuring 60cm 100cm and 40cm
Click here to see answer by josgarithmetic(39616)

Question 1141392: A right triangle with integer sides has one side of length 15 and two other sides with consecutive side lengths. What are those side lengths?
Click here to see answer by greenestamps(13198)

Question 1141680: A triangle has an area of 24 squared centimeter la. If the base is 6 centimeters what is the height!?
A)5
B)6
C)8
D)12
Click here to see answer by josgarithmetic(39616)

Question 1141686: A triangle has an area of 24 squared centimeter long. If the base is 6 centimeters what is the height!?
A)5
B)6
C)8
D)12
Click here to see answer by josgarithmetic(39616)

Question 1141682: Two triangles charge the same base, with length 5mm. One triangle’s height is twice the others. The combine area of both triangle is 60mm. What is the height of the larger triangle?
A)4
B)8
C)16
D)20
Click here to see answer by josgarithmetic(39616)

Question 1141689: Two triangles charge the same base, with length 5mm. One triangle’s height is twice the others. The combine area of both triangle is 60mm. What is the height of the larger triangle?
A)4
B)8
C)16
D)20
Click here to see answer by ikleyn(52775)

Question 1141718: A rectangle has An area of 24 square inches. If all four side lengths are integers, how many possible different perimeters could this rectangle have?
Click here to see answer by math_helper(2461)

Question 1141717: A circle is inscribed in a square. If the area is the circle is 36π sq. in, what is the perimeter of the square in inches??
Click here to see answer by ikleyn(52775)

Question 1141715: Two circles share the same center. The larger circle has a radius twice that of the smaller circle. How many times bigger is the area of the larger circle??
Click here to see answer by ikleyn(52775)

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