Question

In the figure given below, ∆PQS is right-angled at Q and ∆PRT is right-angled at R.

∆PST is an isosceles triangle. Prove that ΔPQS ≅ ΔPRT, if QS = RT.​

Answer 1

Step-by-step explanation:

We have,

According to given figure.

PQ=PR(giventhat)

QS=SR(Bydefinationofmidpoint)

PS=PS(Commonline)

Then,

ΔSPQ≅ΔSPR (BY congruency S.S.S.)

Hence, PS bisects ∠PQR by definition of angle bisector.