Question

Triangle PQR is similar to triangle XYZ. What is the perimeter of triangle XYZ?

A right triangle P-Q-R with hypotenuse R-Q as 20 inches, height R-P as 12 inches and base P-Q as 16 inches. A right triangle X-Y-Z with height Z-X as 3 inches.
A
.

3 in.

B.

4 in.

C.

12 in.

D.

16 in.

Answer 1

Correspondence is P↔X, Q↔Y, R↔Z, so PR (12 in) corresponds to XZ (3 in). Scale factor = 3/12 = 1/4. Other sides are 16*(1/4)=4 in and 20*(1/4)=5 in. Perimeter = 3+4+5 = 12 in. Answer: C.