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

The two triangles below are similar. Find the value of x. Be sure to explain your-example-1

2 Answers

4 votes
Ratio...
10=20
4=x
Cross multiply thus resulting in 10x=80 x=8
User Reginaldo
by
7.0k points
5 votes

Answer:

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



User Mustafa Kemal
by
7.3k points