Question

In ∆PQR,PQ =4 cm and QR=6 cm what can be the length of third side PR?

Answer 1

the answer could be solved by Pythagoras theorem if it would have been mentioned that the triangle is right angled if not then I'm Sry there is angle sum property but no side sum property.... it's a incomplete question
✔With Pythagoras theorem

H²=P²+B²
(PR²)=(PQ²)+(QR²)
PR²=(4²)+(6²)
PR²=16+36
PR²=52
by putting square root both sides
PR=7.21110....:-)

Answer 2

u want to use phythagarous theorm
(pr)2=(pq)2+(qr)2
(4)2+(6)2
=16+36
=52
so the third side of pr is √52