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:

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Step-by-step explanation:

As per Pythagorean theorem

PT2=PQ2+QT2....(in triangle QPT)

⇒QT2=PT2−PQ2

And PR2=PQ2+QR2 ( in the triangle APR and given T is the mide point QR then QR=2QT) put value 

⇒PR2=PQ2+(2QT)2

⇒PR2=PQ2+4QT2

⇒PR2=PQ2+4(PT2−PQ2)

=PQ2+4PT2−4PQ2

⇒PR2=4PT2−3PQ2