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)
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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
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