Question

Triangle ABC~ Triangle PQR.If AM and PN are altitudes of triangle ABC and triangle PQR respectively and AB^2:PQ^2= 4:9, then AM:PN= ?

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Answer 1

Answer:

Ratio of altitudes = Ratio of sides for similar triangles So AM:PN = AB:PQ = 2:3Read more on Sarthaks.com - https://www.sarthaks.com/1214108/abc-pqr-if-am-and-pn-are-altitudes-of-abc-and-pqr-respectively-and-ab-2-pq-2-4-9-then-am-pnSince ratio of similar triangles are in ratio of squares of their corresponding sides ar(∆ABC)/ ar(∆PQR) = (AB/PQ)² = 4/9 Also, ratio of similar triangles are in ratio of squares of their corresponding altitudes. (AM/PN)² = 4/9 AM/PN = 2/3 Hence, option (d) is correct Read more on Sarthaks.com - https://www.sarthaks.com/1214108/abc-pqr-if-am-and-pn-are-altitudes-of-abc-and-pqr-respectively-and-ab-2-pq-2-4-9-then-am-pnhttps://www.sarthaks.com/1214108/abc-pqr-if-am-and-pn-are-altitudes-of-abc-and-pqr-respectively-and-ab-2-pq-2-4-9-then-am-pn