Question

In ΔPQR, if m∠P + m∠Q = m∠R. PR=7, QR=24, then PQ = .....,select a proper option (a), (b), (c) or (d) from given options so that the statement becomes correct.
(a) 31
(b) 25
(C) 17
(d) 15

Answer 1

Dear Student,

Answer : Option B: 25 cm is correct answer

Solution:

ATQ

m∠P + m∠Q = m∠R

It can only possible if R is a right angle. so ∠P = 45 and ∠Q = 45°

Given that PR = 7 cm

QR = 24 cm

look at the picture attach, you are able to know that base and perpendicular are given and we have to calculate hypotenuse.

$PQ = \sqrt{PR^{2} + RQ^{2}} \\ \\ PQ = \sqrt{7^{2} + 24^{2}}\\ \\= \sqrt{49+576} \\ \\ =\sqrt{625} PQ = 25 cm$

Hope it helps you.

Answer 2

Answer:

option b is correct answer