# 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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