Question

The two triangles below are similar. Find the value of x. Be sure to explain your steps

Answer 1

Ratio...
10=20
4=x
Cross multiply thus resulting in 10x=80 x=8

Answer 2

x=8

Explanation:

Given two triangles are similar

When two triangles are similar , then the length of two similar triangles are always proportional.

The length of the corresponding sides are proportional

Ratio of hypotenuse = Ratio of the base

`(20)/(10) = (x)/(4)`

Now we solve for x

Cross multiply the fractions

4 * 20 = x* 10

80 = 10x

Divide by 10 on both sides

x= 8