The semiperimeter of a triangle is 96 cm and its sides are in the ratio of 3:4:5. Find the area of the triangle.,
Let the sides a, b and c of the triangle be 3x, 4x and 5x respectively.
It is given that the semi-perimeter of the triangle is 96 cm.
∴ s = ½ of (a + b + c) = 96 cm
⇒ a + b + c = 2 × 96 cm = 192 cm.
⇒ 3x + 4x + 5x = 192 cm.
⇒ 12x = 192 cm.
⇒ x = 16 cm.
∴ a = 3 × 16 cm = 48 cm, b = 4 × 16 cm = 64 cm and c = 45 × 16 cm = 80 cm.
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