PQR is a triangle, right-angled at Q. If PQ = 24 cm and QR = 10 cm, find PR.

Let us draw a rough sketch of the right-angled triangle.

According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

Therefore, PR² = PQ² + QR²

⇒ PR² = 24² + 10²

⇒ PR² = 576 + 100

⇒ PR² = 676

⇒ PR = √676 = 26 cm

Therefore, the length of PR is 26 cm.