S and T are points on sides PR and QR of
Δ PQR such that ∠P = ∠RTS. Show that
Δ RPQ ~ Δ RTS

Question

S and T are points on sides PR and QR of &#x394; PQR such that &#x2220; P = &#x2220; RTS. Show that &#x394; RPQ ~ &#x394; RTS

Philoid · Accepted Answer

In ΔRPQ and ΔRST,

∠ RTS = ∠ QPS (Given)

∠ R = ∠ R (Common)

∴ ΔRPQ ΔRTS (By AA similarity)