Question

If AABC~ APQR, find the perimeter of APQR. *

A-
8
The perimeter of APQR is 12.
The perimeter of APQR is 13.5
The perimeter of APQR is 14.5
The perimeter of APQR is 16

Answer 1

perimeter of Δ PQR is 13.5

Explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, then

`(PQ)/(AB)` =
`(6)/(8)` =
`(3)/(4)` = 0.75

thus the sides of Δ PQR are 0.75 × sides of Δ ABC

QR = 0.75 × BC = 0.75 × 3 = 2.25

PR = 0.75 × AC = 0.75 × 7 = 5.25

then perimeter of Δ PQR is the sum of the 3 sides, that is

perimeter of Δ PQR = 6 + 2.25 + 5.25 = 13.5