(PLEASE HELP!! A.S.A.P!!!) "Similarity In Right Triangles" Solve For X A.) 10 B.) 20 C.) 14.5 D.) 6√(3)

Question

(PLEASE HELP!! A.S.A.P!!!)

"Similarity In Right Triangles"

Solve For X

A.) 10


B.) 20


C.) 14.5


D.)

`6√(3)`

Answer 1

A. 10

Explanation:

To find a side length of similar triangles, write two equal ratios and set them equal in a proportion. The ratios should be written using the side lengths in each triangle which correspond to each other.

`(x)/(21+4) =(4)/(x)`

This proportion compares the short side of the largest triangle to its hypotenuse and compares the short side of the smallest triangle to its hypotenuse. To solve for x, cross multiply by multiplying numerator and denominator.

`x(x) = 25*4\\x^2=100\\x=10`