In the given fig., PS /SQ= PT/TR and ∠PST = ∠PRQ. Prove that PQR is an isosceles .
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Here, PS/SQ = PT/TR
By converse of BPT, ST // QR
Therefore, ∠PST = ∠PQT
As ∠PST = ∠PRQ,
=> ∠PQT = ∠PRQ
Hence, ∆PQR is an isosceles ∆.
More:
Perimeter of isoscleles triangle = 2a + b
Area = b/2√(a² - b²/4)
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