Q13 of 97 Page 772

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

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


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