Q14 of 97 Page 772

The hypotenuse of a right-angled triangle is 65 cm and its base is 60 cm. Find the length of perpendicular and the area of the triangle.

Given: Base = 60 cm


Hypotenuse = 65 cm



We know that,


Base2 + Perpendicular2 = Hypotenuse2


⇒ 602 + Perpendicular2 = 652


⇒ Perpendicular2 = 652 - 602


⇒ Perpendicular2 = 4225– 3600


⇒ Perpendicular2 = 625 cm2


⇒ Perpendicular = 25 cm


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


= 1/2 × 60 cm × 25 cm


= 750 cm2


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