Question

Find the value of x in the diagram.
ΔPQR ~ ΔSTU

Answer 1

8

Explanation:

The triangles shown in the image are similar triangles. So we can find the length of the missing side using scale factor:

`(pr)/(us) = (qr)/(ut)`

Rewrite it using given value.

`(5)/(10) = (4)/(x)`

• Cross multiply fractions.

5x = 40

• Divide both sides by 5.

x = 8