Question

in givien figure PQ=PR,PROVE THAT QS=SR​

Answer 1

Answer:

$\huge{\tt{ANSWER}}$

$\tt{{\greenGiven : }}$

$\tt{PQ = PR}$

$\tt{\green{To prove :}}$

$\tt{SQ = RS}$

$\tt{\green{Proof : }}$

PQ = PR

Therefore it's an isosceles triangle .

Now ,

$\tt{VP = PT}$_____________$\green{(1)}$

$\tt{VQ = QS}$____________$\green{(2)}$

$\tt{TR = SR}$_____________$\green{(3)}$

All are tangents to the circle.

Now ,

PQ = PR

PQ - PV = PR - PV ______[Dividing both sides by PV ]

PQ - PV = PR - PT ______________$\tt{from 1}$

VQ = TR

Therefore, from 2 and 3 equation ,

SQ = SR

$\tt{Hence proved}$

$\tt{\purple{MayHelp}}$

Answer 2

Answer:

by Pythagorean theorem

PR²=PQ²+QR²

PQ=PR