Question

Р (2) Converse of basic proportionality theorem. PS PT In APQR, if SQ TR then seg ST || seg QR. S I R Fig. 1.26​

Answer 1

Question:

Converse of basic proportionality theorem. PS PT In APQR, if SQ TR then seg ST || seg QR. S I R Fig. 1.26​

Answer:

Step-by-step explanation:

Converse of basic proportionality theorem:

If a line divides any two sides of a triangle in the same ratio then the line must be parallel to the third side.

GIVEN:

PS /SQ= PT/TR  & ∠PST = ∠PRQ.

We have,

PS /SQ= PT/TR

ST || QR

[By using the Converse of basic proportionality theorem]

∠PST  = ∠PQR     [corresponding angles]

∠PRQ  = ∠PQR    [ ∠PST = ∠PRQ]

PQ = PR

[Sides opposite to equal angles are equal]

Hence, ∆PQR is Isosceles

Hope you understad.