D is a point on side QR of ∆PQR such that PD ⊥ QR. Will it be correct to say that ∆PQD ∼ ∆RPD? Why?

Question

Philoid · Accepted Answer

(False)

In ∆PQD and ∆RPD,

Given,

PD = PD [common side]

∠PDQ = ∠PDR [each 90°]

Here, no other sides or angles are equal, so we can say that ∆PQD is not similar to ∆RPD.