Question

What is the value of x?

Answer 1

x = 15

Explanation:

ΔRTS and ΔQRS are similar. Therefore the sides are in proportion:

`(RS)/(SQ)=(ST)/(RS)`

We have:

`RS=x\\SQ=9+16=25\\ST=9\\RS=x`

Substitute:

`(x)/(25)=(9)/(x)` cross multiply

`x^2=(25)(9)\\\\x^2=225\to x=√(225)\\\\x=15`