Question

In the given figure, PQR is an isosceles triangle with PQ -- PR. S is a point on QR and T is a point
on QP produced
OT OR
OP produced such that QT/PR=QR/QS, prove that ∆PQS~∆TQR.​

Answer 1

Answer:

Step-by-step explanation:

In the given figure, ΔPQR is an isosceles triangle.

Therefore, side QP ≅ PR

It has been given that $\frac{QT}{PR}=\frac{QR}{QS}$

Since QP = PR

Therefore, $\frac{QT}{QP}=\frac{QR}{QS}$

By the theorem of similar triangles, If two triangles are similar then the corresponding sides of the similar triangles will be in the same ratio.

Therefore, ΔPQS ~ ΔTQR, in which corresponding sides are QT and QP, QR and QS.

Learn more about the similar triangles https://brainly.in/question/3084770