Question

Find the measure of triangle PKR in the given figure.
where PQ = 24 cm. QR =26 cm, PK= 8cm, KR = 6cm, angle QPR =90.

Answer 1

Answer:

Given In △PAR,∠PAR=90

∘

⟹PR

2

=PA

2

+AR

2

⟹PR=

6

2

+8

2

=

100

=10 cm

In △PQR,

PQ=24 cm,PR=10 cm,QR=26 cm

Here QR

2

=26

2

=676,PQ

2

+PR

2

=24

2

+10

2

=576+100=676

⟹QR

2

=PR

2

+PQ

2

⟹∠QPR=90

∘