Question

5. A ABC ~ A XZY. If the perimeter of A ABC is
45 cm, the perimeter of A XYZ is 30 cm and
AB = 21 cm, find XZ.​

Answer 1

Given: triangle ABC - triangle PQR, perimeter

of triangle ABC = 32cm, perimeter of

triangle PQR = 48cm and PR = 6cm

since the y are similar,

AB/PQ = BC/QR = AC/PR

AC/PR = perimeter of triangle ABC/perimeter of

triangle PQR

AC/6 = 32/48 AC*48 = 6*32

therefore AC = 4cm