11. In POR, PQ – QR and in PSR, PS = SR.
(a) Is ASPQ = ASRO?
(b) Prove that ZSPO = SRO​

1 thought on “<br />11. In POR, PQ – QR and in PSR, PS = SR.<br />(a) Is ASPQ = ASRO?<br />(b) Prove that ZSPO = SRO​”

1. Step-by-step explanation:

   Given: in ΔPSR, Q is a point on the side SR such that PQ = PR.

   In ΔPRQ,

   PR = PQ (given)

   ⇒ ∠PRQ = ∠PQR (opposite angles to equal sides are equal)

   But ∠PQR > ∠PSR (exterior angle of a triangle is greater than each of opposite interior angle) =>∠PRQ > ∠PSR

   ⇒ PS > PR (opposite sides to greater angle is greater)

   ⇒ PS > PQ (as PR = PQ)

   proved

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