Question

Ocm angle? 2 POR if I (PQ) = (3x - 1). 1 (QR) = 15x and I (PR) = (15x + 1). then for ch value of x will APQR be a right angled triangle? (2
) 6 (3) 4 (4) ​

Answer 1

In ΔPQR, O is a point in it such that

OP=6cm, OR=8cm and ∠POR=90°

PQ=24cm, QR=26cm

Now,

In ΔPOR, ∠O=90°

o

PR²=PO² +OR²

=(6)

2

+(8)

2

=36+64

=100

PR=10

Greatest side QR is 26cm

QR

2

=(26)

2

=676

and PQ² +PR² =(24)² +(10)² =576+100 =676

Which implies, 676=676

QR² =PQ² +PR²

ΔPQR is a right angled triangle and right angle at P.