Question

In a right-angled triangle AOB, right angled at 0, OA = 13 cm and OB = 9 cm. Find AB and express it as
a simplified surd.

Answer 1

Step-by-step explanation:

In a ∆AOB

AO (Perpendicular) = 13cm

OB (Base) = 9 cm

By Pythagoras theorem

H² = P² + B²

(AB)² = (AO)² + (OB)²

(AB)² = (13)² + (9)²

(AB)² = 169 + 27

(AB)² = 196

AB = ✓196

AB = 14 cm