Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, prove that: AB/PQ = AD/PM.

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KnowledgeBoat · Accepted Answer

Given, ∆ABC ~ ∆PQR So, ∠ABC = ∠PQR i.e., ∠ABD = ∠PQM Also, ∠ADB = ∠PMQ [Both are right angles] ∴ ∆ABD ~ ∆PQM [By AA] Since, corresponding sides of similar triangles are proportional. . Hence, proved that .

Mathematics

Triangle ABC is similar to triangle PQR. If AD and PM are altitudes of the two triangles, prove that: AB/PQ = AD/PM.

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