Question

If △ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm, then length QR is equal to ________.

Options

• 10 cm

• 15 cm

• `20/3` cm

• 30 cm

Answer 1

If △ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm, then length QR is equal to 15 cm.

Explanation:

△ABC ∼ △PQR such that 3AB = 2PQ and BC = 10 cm

△ABC ∼ △PQR

`(AB)/(PQ)` = `(BC)/(QR)`  ...(The ratio of corresponding sides of similar triangles is equal.)

AB × QR = BC × PQ

AB × QR = 10  cm × `3/2` AB

QR = `30/2` cm

∴ QR = 15 cm