In fig- P S-S Q-P T-T R and - P Q P- Prove that P Q R is an isosceles triangle-

It is given that PS/SQ = PT/TR So, ST || QR [Theorem] Therefore, ∠PST = ∠PQR [Corresponding angles] ...

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Basic Proportionality Theorem and Its Forms

In fig, P S/S...

Question

In fig, $\frac{P S}{S Q}$ = $\frac{P T}{T R}$ and $∠$ PQR. Prove that PQR is an isosceles triangle.

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\frac{P S}{S Q} = \frac{P T}{T R}

∠ P S T = ∠ P R Q

△ P Q R

$\frac{P S}{S Q}$ = $\frac{P T}{T R}$ and $∠$ PST = $∠$ PRQ. Prove that $Δ$ PQR is an isosceles triangle.

In below shown figure, $\frac{P S}{S Q}$ = $\frac{P T}{T R}$ and $∠$ PST= $∠$ PRQ. Then $Δ$ PQR is an isosceles Triangle.

P Q R S

Δ T S R

T S = T R

P T = Q T

In below shown figure, $\frac{P S}{S Q} = \frac{P T}{T R}$ and $∠ P S T = ∠ P R Q$ . Then $Δ$ PQR is an __ triangle.

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