NCERT Solution Class X Mathematics Triangles Question 5 (Ex 6.3)

Question 5:

S and T are point on sides PR and QR of ;PQR such that ∠P = ∠RTS. Show that ∆RPQ ∼ ∆RTS.

Answer:

 

In ∆RPQ and ∆RST,

∠RTS = ∠QPS (Given)

∠R = ∠R (Common angle)

∴ ∆RPQ ∼ ∆RTS (By AA similarity criterion)

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