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.
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Answer:
PS bisects ∠PRT
Step-by-step explanation:
According to given figure.
PQ=PR (giventhat)
QS=SR(Bydefinationofmidpoint)
PS=PS(Commonline)
Then,
ΔSPQ ≅ ΔTPR (BY congruency S.S.S.)
Hence, PS bisects ∠PQR by definition of angle bisector.
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