Question

If Triangle PQR ~ Triangle VST with a scale factor of 2:5, find the value of x.

Answer 1

• x = 11.2 units

Explanation:

QR is the corresponding side to ST since ΔPQR ~ ΔVST, considering the order of vertices.

Since the scale factor is 2/5, the ratio of corresponding sides is:

• QR/TS = 2/5
• x/28 = 2/5
• x = 28*2/5
• x = 56/5
• x = 11.2