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

Question

Philoid · Accepted Answer

Given: Base = 48 cm

Hypotenuse = 50 cm

We know that,

Base² + Perpendicular² = Hypotenuse²

⇒ 48² + Perpendicular² = 50²

⇒ Perpendicular² = 50² - 48²

⇒ Perpendicular² = 2500– 2304

⇒ Perpendicular² = 196 cm²

⇒ Perpendicular = 14 cm

Area of a triangle = 1/2 × Base × Height

= 1/2 × 48 cm × 14 cm

= 336 cm²