Question

question given in figure solve it please . the one whose answer provides me satisfraction will be marked as brainliest . read question 1st . PQR is a isosceles right triangle , right angles at Q. price that PRsquare= 2PQsquare . want to say sorry for the worst camera quality . actually my phone is too cheaper and it hasn't the good quality as your phones have . btw solve this question.​

Answer 1

Answer:

Given : PQR is an isosceles triangle and right angle at Q

To Prove : (PR)^{2}\: = \: 2(PQ)^{2}(PR)

2

=2(PQ)

2

Solution :

PR is Hypotenuse

Hypotenuse is greater than other two sides of triangle.

So, it's mean PQ = QR ( as triangle is isosceles triangle )

By pythagorean theorem

(PR)^{2} = (PQ)^{2}\: + \: (QR)^{2}(PR)

2

=(PQ)

2

+(QR)

2

(PR)^{2} = (PQ)^{2}\: + \: (PQ)^{2}(PR)

2

=(PQ)

2

+(PQ)

2

.. (given)

(PR)^{2} = 2(PQ)^{2}(PR)

2

=2(PQ)

2

Hence Proved

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