Questions on Geometry: Triangles answered by real tutors!

Tutors Answer Your Questions about Triangles (FREE)

Question 428806: in a right triangle, if the measures of the legs are 5 in and 12 in, find the measure of the hypotenuse

Click here to see answer by nerdybill(7384)

Question 428806: in a right triangle, if the measures of the legs are 5 in and 12 in, find the measure of the hypotenuse

Click here to see answer by MathLover1(20849)

Question 428894: The length of one leg of a right triangle is 3x the length of the other. The length of the hypotenuse is 10. What is the length of the longest leg?
Click here to see answer by jorel1380(3719)

Question 428616: A triangle has side lengths of 8 cm, 15 cm, and 16 cm. it acute, obtuse, or right? and why?
Click here to see answer by richard1234(7193)

Question 429077: Could you please help me help my sick son with this problem. He has been out of school ill for 3 days and I am trying to help but, cannot remember how. A triangle has one side length 1 1/3 cm. and another side length 2 1/5 cm. the perimeter of the triangle is 7 1/30 cm. What is the length of the 3rd side.
Click here to see answer by ewatrrr(24785)

Question 429223: Which type of triangle can be constructed with a 50�
angle between two 8-inch sides?
Click here to see answer by ewatrrr(24785)

Question 429400: suppose a triangle has an area of 220 square meters. what is the measure of the height if the base measures 20 meters
Click here to see answer by rfer(16322)

Question 429460: two angles of a triangle are 600 and 900. what is the third?
Click here to see answer by richard1234(7193)

Question 429483: In a 3-4-5 right triangle, find the length of the altitude to the hypotenuse.
Click here to see answer by richard1234(7193)

Question 429729: The base of a triangle is 2x+4 and the area is 2x^2+5x+2 sq. meters. How much longer is the base than the height?
Click here to see answer by nerdybill(7384)

Question 429792: find the area of an isosceles trapezoid with legs 25cm and bases 16 and 30cm
Click here to see answer by robertb(5830)

Question 429791: find the area of a trapezoid with 45 degree base angles and bases 17 and 23
Click here to see answer by robertb(5830)

Question 429914: Triangle ABC has vertices A(4, 8), B(2, �4), and C(6, 0). Find the vertices of A�B�C� after each translation. (Multiple Choice)
3 units up and 6 units right
A) A�(�2, 5), B�(�4, �7), C�(0, �3)
B)A�(10, 11), B�(�4, �1), C�(12, �3)
C)A�(�2, 11), B�(�4, �1), C�(0, 3)
D)A�(10, 11), B�(8, �1), C�(12, 3)
Please explain why! Thanks!
Click here to see answer by ewatrrr(24785)

Question 429917: Triangle ABC has vertices A(4, 8), B(2, �4), and C(6, 0). Find the vertices of A�B�C� after each translation.(multiple choice)
3 units up and 6 units right
A) A�(�2, 5), B�(�4, �7), C�(0, �3)
B) A�(10, 11), B�(�4, �1), C�(12, �3)
C) A�(�2, 11), B�(�4, �1), C�(0, 3)
D) A�(10, 11), B�(8, �1), C�(12, 3)
Explain steps please! Thanks!!!!

Click here to see answer by ewatrrr(24785)

Question 430037: The perimeter of an isosceles right triangle can never be a whole number. is that true? Explain.
Click here to see answer by richard1234(7193)

Question 430093: I have a picture of a right triangle labeled JLK. The triangle looks like |>, but the top line is the hypotenuse and the bottom length is 12, while the first | JL is 4.
Im not sure if i use the Pythagorean Theorem or tangent inverse or what.
The question is..... Determine the measure of angle k to the nearest degree.
A. 72 degrees
B. 7 degrees
C. 33 degrees
D. 18 degrees
Thanks for help.
Click here to see answer by Theo(13342)

Question 430200: On a blueprint, the scale indicates that 6 cm represents 22 ft. the room is 9 cm long and 4 cm wide on the blueprint.
What is the width of the room to the nearest foot?
What is the length of the room to the nearest foot?
Click here to see answer by ewatrrr(24785)

Question 430207: Please help me solve this equation:
The three sides of a right triangle are represented by x, x+4, and x+8. Find the value of X and the three sides of the triangle algebraically.
So far this is what I have:
a^2+b^2=c^2
X^2+(x+4)(x+4)= (x+8)(x+8)

Click here to see answer by ewatrrr(24785)

Question 430227: The ratios of the perimeters of two similar triangles is 1:3. If the length of a side of the smaller triangle is 3, the length of the corresponding side of the larger triangle is
a. 1
b. radical 3
c. 3 radical 3
d. 9

So far, the work i have is:
1/3=3/x
x=9?
Click here to see answer by stanbon(75887)

Question 430261: Alright, I know only one Question, but I only need you to double check these for me. I have my answers blow the questions. Pretty much just question 9-15 are the ones I'm unsure of. I have 14 questions and I was wondering if someone could check my answers. This is a do or die situation. They are all right triangles. Thanks if you do. I know its a lot.
1) Find the length of the hypotenuse if one leg is 9cm and the other is 12 cm. round the nearest tenth.
A. 15cm
B. 17.3cm
C. 21cm
D. 7.9cm
My answer was A. 15cm
2. Find the length of one leg of a right triangle if the length of the hypotenuse if 18 meters and the length of the other leg is 14 meters. Round to the nearest tenth.
A. 22.8
B. 11.3
C. 9.8
D. 14.3
My answer was B. 11.3
3. Determine the missing measure to the nearest tenth is one leg is 24cm and the hypotenuse is 25 cm.
A. 11.5
B. 7.0
C. 23.0
D. 34.7
My answer was B. 7.0
4. Determine the length of the hypotenuse when the legs are 10.5 ft and 7 ft.
A. 10.5
B. 7.1
C. 12.6
D. 17.5
My answer was C. 12.6
5. If you know the length of the hypotenuse of a 30�-60� right triangle, to find the length of the side opposite the 30�� angle you need to
A. muliply by the square root of two
B. divide by two
C. multiply by 2
D. divide by the square root of two
My answer is B. divide by two.
6. Find the length of the hypotenuse in the 45�-45�-90� when one leg is 14mm.
A. 7.0 mm
B. 28.0 mm
C. 19.8 mm
D. 9.9 mm
My answer was C. 19.8 mm.
7. Find the length of the second leg and the hyoptenuse of the 30�-60� right triangle, when one leg is 8 inches.
A. 13.9 in, 16 in
B. 13.9 in, 11.3 in
C. 4.6 in, 16 in
D. 8 in. 16 in
8. The hypotenuse in the 45�-45� right triangle is 8.4 centimeters long. What is the length of each of the legs to the nearest tenth?
A. 7.8 cm
B. 6.3 cm
C. 5.9 cm
D. 4.2 cm
My answer was C. 5.9 cm
9. What is the length of the hypotenuse in the a 30�-60� right triangle when one leg is 12 yards.
A. 6.9 yd
B. 24.0 yd
C. 8.0 yd
D. 13.9 yd
My answer was D. 13.9 yd.
10. Find sin A triangle ABC when line(leg) AC is 9, line (leg) CB is 12, and the hypotenuse is 15. Line AC is on the left, straight down(9). Line CB is straight across(12), and the hypotenuse forms line AB going from left to right(15). Sorry its a picture. I tried to explain it.
A. 0.6
B. 1.25
C. 0.75
D. 0.8
My answer was D. 0.8, but im not completely sure.
11. What is tan B? Round to the nearest hundreth. It is a right triangle C makes the right angle. B to A makes the hypotenuse from Top right to bottom left. Line AC makes one of the legs, and Line BC makes the other. The measures are (leg AC 7) (LEG BC 16.8) (HYPOTENUSE 18.2)
A. 0.9231
B. 0.3846
C. 2.4000
D. 0.4167
My answer was D. 0.4167
12. Find the measure of angle X given that tan X= .5736.
A. 55
B. 30
C. 35
D. 100
13. Determine the measure of angle K to the nearest degree.
The line(leg) JL is 4, line (leg) LK is 12, and the hypotenuse is 12.6 . Angle L makes the right angle. Line JL is on the left, straight down(4). Line LK is straight across(12), and the hypotenuse forms line JK going from left to right(12.6).
A. 72�
B. 71�
C. 33�
D. 18�
My answer A. 72�
14. What is the length of the hypotenuse in triangle QRS? Round to the nearest tenth.
It gives that the Triangle is 40� and 90�, so that leaves the other angle to be 50�.
It only gives that the line(leg) QS is 7.8. Angle L makes the right angle. Line JL is on the left, straight down. Line SR is straight across, and the hypotenuse forms line QR going from left to right.
A. 6.5
B. 12.1
C. 10.2
D. 6.0
My answer was C. 10.2

Click here to see answer by Alan3354(69443)

Question 430321: The following are the lengths of two sides of a right triangle: 24 yd and the hypotenuse is 30 yd. what is the missing side. thanks
Click here to see answer by jorel1380(3719)

Question 430621: How to find the value of x
in inches?
Click here to see answer by Alan3354(69443)

Question 430574: Is a triangle with side lengths of 3,4, and 5 and another triangle with side lengths of 6, 8, and 11 a counterexample of two similar right triangles?
Click here to see answer by richard1234(7193)

Question 430910: In a triangle, the middle length side is 3 more than the shortest side, and the longest side is double the middle length side. The perimeter of the triangle is 45 cm.
Find the lengths of the sides.

Click here to see answer by ewatrrr(24785)

Question 431040: The measures of the sides of a triangle are in the ratio 5:6:7. Find the measure of each side if the perimeter of the triangle is 72 inches.
Click here to see answer by checkley79(3341)

Question 431036: If a triangle has a base of 11� and a height of 6�, what is the length of the hypotenuse?

Click here to see answer by checkley79(3341)

Question 431203: The equal sides of an isosceles triangle are 6m longer than the base. If the perimeter of the triangle is 42 m, how long is each side.
Click here to see answer by subudear(62)

Question 431242: If the length of the hypotenuse of a 45�-45�-90� triangle is 12√2, what is the perimeter of the triangle?
Click here to see answer by robertb(5830)

Question 431377: IF THE HEIGHT OF AN EQUILATERAL TRIANGLE IS 5√3 CMS THEN THE PERIMETER OF THE TRIANGLE IS?
Click here to see answer by Gogonati(855)

Question 431465: the sides of a triangle are 6, 8, and 11. which statement about the triangle is true?
Click here to see answer by Alan3354(69443)

Question 431596: A soccer field has an area of 135 square feet. The length is 3 feet longer than the width. What are the dimesions of the feet?
Click here to see answer by jorel1380(3719)

Question 432125: find the leg of the other leg is 15 and the hypothenuse is 17
Click here to see answer by ewatrrr(24785)

Question 432133: My daughters homework today is stumping me-she's in 6th grade.
Two triangles are similar. On one triangle, the sides are 4, 5, and 6 units long. The second triangle has sides 8, 10, and x. Use proportions to find x.
Click here to see answer by ewatrrr(24785)

Question 432168: what would the height of an isosceles triangle be if the base is 16 ?
Click here to see answer by richard1234(7193)

Question 432182: An isosceles triangle has two sides with length x. The third side is 1/2 of x. What is the perimeter?
Click here to see answer by solver91311(24713)

Question 432182: An isosceles triangle has two sides with length x. The third side is 1/2 of x. What is the perimeter?
Click here to see answer by Alan3354(69443)

Question 432537: Find the given variables of x in triangle if 16 if the hypotenuse and 12 is the long leg. x if the short leg
Click here to see answer by ewatrrr(24785)

Question 432659: Hello!
Can there be two or more non congruent triangles if there is a triangle with sides of length 31 cm, 49 cm and 15 cm?
I really appreciate the help.
Click here to see answer by richard1234(7193)

Question 432713: I have to plot the points (0,-4), (4,-1), and (1,3) on a graph. how do i figure out the lengths of the sides if none are given?
Click here to see answer by solver91311(24713)

Question 432766: If the perimeter of an isosceles triangle is 36 cm and if the altitude to its base is 12 cm, what is the triangle's area?
Click here to see answer by checkley79(3341)

Question 432766: If the perimeter of an isosceles triangle is 36 cm and if the altitude to its base is 12 cm, what is the triangle's area?
Click here to see answer by Gogonati(855)

Question 432743: The height of a triangle is 2 meters longer than twice its base. Find the base and height if the area of the triangle is 8 meters.
Click here to see answer by checkley79(3341)

Question 432942: Find the length of the altitude to the hypotenuse of a right triangle whose sides have lengths 7, 24, and 25
Click here to see answer by robertb(5830)

Question 432967: The sum of two angles of a triangle is 150 degrees. What is the supplement of the third angle of the triangle?
The first two cannot be 90 degrees, so I thought it would be 75 and 75 and the third angle 30. Thus according to the answer key it is 150. I do not understand why it is 150 degrees. Would you explain it to me? Thanks.
Maria
Click here to see answer by belle3833(46)

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