Question

AFGH is similar to APQR.G8 cm10 cm5 cmPFR14 cmH Н*not drawn to scaleWhat is the length of PR?A. 3 cmB. 4 cmC. 7 cmD. 9 cm

Answer 1

C. PR = 7 cm

1) Similarity of Triangles

When two triangles are similar we can state a proportionality, between their corresponding sides.

Hence, we write for PR

`(10)/(5)=(14)/(x)`

Then we can cross multiply

10x = 14 x 5

10x =70

x= 7

PR = 7 cm

Note that the PQR triangle is twice smaller than the bigger one

So