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