Question

prove that angle opposite to equal sides are equal​

Answer 1

Correct Question:

Prove that the angles opposite to equal sides of an isosceles triangle are equal.

Answer:

Yes, angle opposite to equal sides of an isosceles triangle are equal.

Step-by-step explanation:

Given: PQR is a isosceles triangle, PQ = PR

To Prove: ∠Q = ∠R.

Construction: Draw a bisector of ∠P and let S be the point of intersection.

Proof:

In Δ QPS and ΔRPS,

⇒ PQ = PR  [Given]

⇒ ∠QPS = ∠RPS   [By Construction]

⇒ PS = PS   [Common]

By SAS criterion rule,

⇒ ΔQPS ≅ ΔRPS

⇒ ∠PQS = ∠PRS   [CPCT]

∴ ∠Q = ∠R

Hence Proved!!!

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