Question

What is the value of x?
x=______units​

Answer 1

x = 12 units

Explanation:

ΔQTR and ΔRTS are similar (AAA). Therefore the corresponding sides are in proportion:

`(RT)/(TS)=(TQ)/(RT)`

We have

`RT=x,\ TS=9,\ TQ=16`

Substitute:

`(x)/(9)=(16)/(x)` cross multiply

`x^2=(9)(16)\\\\x^2=144\to x=√(144)\\\\x=12`