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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