Question

P Р 2 3. In the fiſ 2.28 seg pS is the median of 4 POR and PT LOR. Prove that; PR?= ps²+ QR XST+ [9R7 © POP= Ps?- ORXST *[ge T T S R​

Answer 1

In ∆PSR, ∠PSR is an obtuse angle [Given]  and PT ⊥ SR [Given, Q-S-R]  ∴ PR2 = SR2 +PS2 + 2 SR × ST (ii) [Application of Pythagoras theorem]  ∴ PR2 = ( 1/2QR)2 + PS2 + 2 ( 1/2 QR) × ST [From (i) and (ii)]  ∴ PR2 = (QR/2 )2 + PS2 + QR × ST  ∴ PR2 = PS2 + QR × ST + (QR/2)2 ii. In.∆PQS, ∠PSQ is an acute angle and [Given]Read more on Sarthaks.com - https://www.sarthaks.com/850705/in-the-adjoining-figure-seg-ps-is-the-median-of-apqr-and-pt-qr-prove-that-i-pr-2-ps-2-qr-st-qr-2-2?show=850720#a850720

Answer 2

P Р 2 3. In the fiſ 2.28 seg pS is the median of 4 POR and PT LOR. Prove that; PR?= ps²+ QR XST+ [9R7 © POP= Ps?- ORXST *[ge T T S R