Question

in triangle PQR ANGLE Q IS 90 DEGREE AND POINT M IS THE MIDPOINT OF SIDE QR DRAW AN APPROPRIATE FIGURE AND PROVE THAT QR SQUARE = 4 (PM SQUARE - PQ SQUARE)

Answer 1

Answer:

As per Pythagorean theorem

PT

2

=PQ

2

+QT

2

....(in triangle QPT)

⇒QT

2

=PT

2

−PQ

2

And PR

2

=PQ

2

+QR

2

( in the triangle APR and given T is the mide point QR then QR=2QT) put value

⇒PR

2

=PQ

2

+(2QT)

2

⇒PR

2

=PQ

2

+4QT

2

⇒PR

2

=PQ

2

+4(PT

2

−PQ

2

)

=PQ

2

+4PT

2

−4PQ

2

⇒PR

2

=4PT

2

−3PQ

2

.

#Have a Nice day