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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
Solution
∆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
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