Question

∆ABC ~ ∆PQR. If AM and PN are altitudes of ΔABC and ∆PQR respectively and AB² : PQ² = 4 : 9, then AM : PN = ______.

Options

• 16 : 81

• 4 : 9

• 3 : 2

• 2 : 3

Answer 1

∆ABC ~ ∆PQR. If AM and PN are altitudes of ΔABC and ∆PQR respectively and AB² : PQ² = 4 : 9, then AM : PN = 2 : 3.

Explanation:

Ratio of altitudes = Ratio of sides for similar triangles

So AM : PN = AB : PQ = 2 : 3