In an isosceles triangle PQR with PQ = PR, D and E are the points on QR, such that QE= RD, show that PD=PE​

In an isosceles triangle PQR with PQ = PR, D and E are the points on QR, such that QE= RD, show that PD=PE​

1 thought on “In an isosceles triangle PQR with PQ = PR, D and E are the points on QR, such that QE= RD, show that PD=PE​”

  1. 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.

Leave a Comment