Question

In Fig. 8, PQR is an isosceles triangle with PQ = PR. Let D, E, and F be the midpoints
of QR, PR, and PQ, respectively. Show that PD 1 FE and PD is bisected by FE.
pls urgently plsss​

Answer 1

Answer:

Hope it will helps u :)

Step-by-step explanation:

Solution:-

Given : PSR is a triangle.and PQ  = PR

To prove:- PS>PQ

Proof :  

In △PQR,

PQ=PR  

∴∠PQR=∠PRQ(∵Angles opposite to equal sides are equal)

Now,  

∠PQR>∠PSQ(∵ exterior angle of a triangle is always greater than each of its interior angles.)

⇒∠PRQ>∠PSQ(∵∠PQR=∠PRQ)  

⇒∠PRS>∠PSR

now in △PSR,

∠PRS>∠PSR

∴PS>PR  

⇒PS>PQ(∵PQ=PR)

Hence proved.