# math

A right triangle with sides in the ratio 3:4:5 has one side length of 60. What are the possible lengths of the other sides?

(My teacher asked for a "let x represent" statement here but I'm not sure how to do that... is there a way? If so, please, do tell~)

1. 👍 0
2. 👎 0
3. 👁 158
1. There was probably a diagram with the question, because we have to know which side corresponds with the side of length 60

I will assume that the new side of 60 corresponds with the side of 3
let the hypotenuse side of the new triangle be x
then x/5 = 60/3= 20
x = 100

another way is to label the new triangle
3x, 4x, and 5x, (notice 3x:4x:5x = 3:4:5)

Then depending on which side matches the 60, set the corresponding side to 60
e.g. the way I assumed:
3x = 60
x = 20
then the new triangle has sides
3(20), 4(20), and 5(20) or 60, 80, 100

1. 👍 0
2. 👎 0

## Similar Questions

1. ### algebra

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

asked by Kris on October 13, 2014
2. ### Math

1. Find the length of the missing side of the right triangle (A triangle is shown to have a base of 15 cm and a height of 8 cm. The slope of it is unmarked A. 289 cm B. 17 cm *** C. 23 cm D. 4.79 cm 2. Find the length of the

asked by Neru on April 3, 2019
3. ### Math, Ms. Sue Help asap plss

Can the numbers 24, 32, and 40 be the lengths of three sides of a triangle? Why or why not My answer: Yes it can. Because the 3 lengths satisfy the triangle inequality theorem. The triangle inequality theorem states that the third

asked by I'm the girl in the corner on March 14, 2018
4. ### Math

1. Classify the triangle according to side length and angle measurement 2. Classify the triangle according to side length and angle 3. Classify the triangle with side lengths 4,4, and 4 4. Classify the triangle with the measuring

5. ### algebra 2

the sides of a triangle are in the ratio 6:8:10. the perimeter is 120cm. find the length of the shortest side

asked by Mi'ckey on September 14, 2011
1. ### algebra

1) What is the length of the unknown leg to the nearest tenth? (a triangle, sides: a, 10, 16. 10 is on the bottom, 16 is on the right, a is on the left. There's a right angle square on the corner to the left of the 10) A. 2.4 B.

asked by Ash on March 17, 2020
2. ### algebra

A triangle has a perimeter of 112 centimeters, each of the two longer sides of the triangle is three times as long as the shortest side. Find the length of each side of the triangle

asked by Barbara on December 11, 2014
3. ### Math

The lengths of two sides of a triangle are 3 cm and 7cm. what can you conclude about the maximum length of the third side of the triangle? A. The maximum length of the third side must equal 10 cm B. The maximum length of the third

asked by Bonnie on March 27, 2020
4. ### math 1

This isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. The perimeter of the triangle is 15.7 centimeters. The equation 2a + b = 15.7 can be used to find the side lengths. If one

asked by Anonymous on February 27, 2018
5. ### Math

the short side of an isosceles triangle is 16cm long increasing each side length by 24cm doubles the perimeter. how long are the other sides of the original triangle?

asked by Alexa on January 24, 2012
6. ### math

Two similar figures have sides in the ratio of 2:3. If a side of the smaller triangle has a length of 7, what is the length of the corresponding side of the other triangle?

asked by heather on May 9, 2012