The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle.
Mensuration
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The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle.

KnowledgeBoat · Accepted Answer

It is given that the lengths of the sides of a triangle are in the ratio 3 : 4 : 5. Let the lengths of the sides be 3x, 4x and 5x. The perimeter of the triangle is 144 cm. Perimeter = sum of all sides of triangle ⇒ 144 = 3x + 4x + 5x ⇒ 144 = 12x ⇒ x = ⇒ x = 12. So the sides of a triangle are ⇒ 3x = 3 × 12 = 36 cm ⇒ 4x = 4 × 12 = 48 cm ⇒ 5x = 5 × 12 = 60 cm Let a = 36 cm, b = 48 cm, c = 60 cm. s = = 72 cm. (s - a) = (72 - 36) cm = 36 cm. (s - b) = (72 - 48) cm = 24 cm. (s - c) = (72 - 60) cm = 12 cm. We know that, Hence, area of triangle = 864 cm2.

Mathematics

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle.

Mensuration

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Mathematics

The lengths of the sides of a triangle are in the ratio 3 : 4 : 5 and its perimeter is 144 cm. Find the area of the triangle.

Mensuration

Related Questions

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