Question

In the figure 2.22, M is the midpoint of QR. Z PRQ = 90°. Prove that, PQ2 = 4PM- 3PR?​

Answer 1

Answer:

Hence it is proved

Step-by-step explanation:

From figure,

PQ

2

=PR

2

+RQ

2

Similarly,

PM

2

=PR

2

+RM

2

RQ=RM+RQ=RM+RM=2RM

⇒RM=

2

1

RQ

⇒RQ

2

=4PM

2

−4PR

2

∴PQ

2

=PR

2

+RQ

2

becomes,

PQ

2

=PR

2

+(4PM

2

−4PR

2

)

PQ

2

=4PM

2

−3PR

2

Hence proved.