Question

Triangle PQR is similar to triangle KLM. What is the value of x in inches?

Answer 1

`x = 168`

Explanation:

Given

See attachment

Required

Find x

To solve for x, we make use of the following equivalent ratios

`LM : KM = QR : PR`

This gives:

`35 : x = 15 : 72`

Convert to fraction

`(x)/(35) = (72)/(15)`

Make x the subject

`x = (72)/(15) * 35`

`x = (72* 35)/(15)`

`x = (2520)/(15)`

`x = 168`