Question

To prove ... ST×RQ=PS×PQ......​

Answer 1

Answer:

in above figure

in triangle TSP and triangle RQP

angle T = angle P

angle S = angle Q = 90°

by AA criteria

∆ TSP similar to ∆ PQR

so

ST/PQ = PS / RQ. [ by the similar triangles]

ST x RQ = PS x RQ

hence proved

hope this will help you