Question

in the given figure ps/sq=pt/tr and pst=prq prove that pqr is an isosceles triangle

Answer 1

Given:

$\dfrac{PS}{SQ}=\dfrac{PT}{TR}$

To Prove That:

PQR is an isosceles triangle.

Proof:

According to Basic Proportionality Theorem:

A line divides any two sides of a triangle in the same ratio, then the line is parallel to the third side.

Therefore by this:

ST ║QR

∠ PST = ∠ PQR (Corresponding angles) ……..Equation (i)

∠ PST = ∠ PRQ (Given)------Equation (ii)

From equation (i) and equation (ii),

∠ PRQ = ∠ PQR

From this we can say that:

PQ = PR (Sides opposite the equal angles are equal)

Therefore we can say that PQR is an isosceles triangle.

Answer 2

Mark as Brainliest answer please my friend

Hope this will help u