Question

NEED HELP ASAP 70 POINTS

The triangles are similar.


What is the value of x?


Enter your answer in the box.

x =

Answer 1

21

Explanation:

Right scalene triangle.

you can solve with a proportion

72 : x = 24 : 7

x = 72 * 7 : 24

x = 21

or you can solve with the Pythagorean theorem

√(75² - 72²) =

√(5625 - 5184) =

√441 = 21

Answer 2

x= 21

Explanation:

Given data

First triangle : a1=72, b1= x , c1=75

Second triangle : a2= 24, b2= 7, c2=25

If two triangles are similar, the corresponding sides are proportional:

a1 : a2 = b1 : b2 = c1 : c2

This is triple proportion, but we will use selected double:

a1 : a2 = b1 : b2 => 72 : 24 = x : 7

When we multiply the external and internal members we get:

7 · 72 = 24 · x => x= 7 · 72/ 24 = 7· 3 = 21

x = 21

God with you!!!