Question

Triangles QVS and RTS are similar. Find side VS

Answer 1

ΔQVS is similar to ΔRTS

.

Solve x:

$\dfrac{10}{6} = \dfrac{x}{8}$

6x = 80

x = 40/3

x = 13 1/3

.

Answer: x = 13 1/3

Answer 2

In the similar triangles ratios of corresponding sides should be equal, so

for triangles QVS and RTS

QV corresponds RT, and VS corresponds TS,so

QV/RT = VS/TS

10/6 = x/8

x=10*8/6=40/3 or 13.33.