Question

Triangle PQR is similar to Triangle XYZ. PQ=3 and XY=6. If the perimeter of Triangle XYZ is 20, what is the perimeter of Triangle PQR?

Answer 1

10

Explanation:

Since the triangles are similar then the ratios of corresponding sides are equal, that is

scale factor =
`(PQ)/(XY)` =
`(3)/(6)` =
`(1)/(2)`

That is the sides of Δ PQR are half those of Δ XYZ, thus

The perimeter of Δ PQR is half Δ XYZ, that is

perimeter of Δ PQR =
`(1)/(2)` × 20 = 10

Answer 2

10

Explanation: