The base of a right-angled triangle is 48 cm and its hypotenuse is 50 cm. Find the area of the triangle.

Explanation

∵ (hypotenuse)2 = (perpendicular length)2 + (base)2 (50)2 = (perpendicular length)2 + (48)2 ∵ (perpendicular length)2 = 2500 - 2304 = 196 perpendicular length = 14 cm. ∵ Area of a right triangle ∆ = $\frac{1}{2} \times base \times perpendicular length$ = $\frac{1}{2} \times 48 \times 14 = 336 cm^2$