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

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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 3a, 4a and 5a. The perimeter of the triangle is 144 cm. Perimeter = sum of all sides of triangle ⇒ 144 = 3a + 4a + 5a ⇒ 144 = 12a ⇒ a = ⇒ a = 12 So, the sides of triangle = 3a, 4a and 5a = 3 x 12, 4 x 12 and 5 x 12 = 36, 48 and 60 Let a = 36 cm, b = 48 cm and c = 60 cm. The semi-perimeter s: ∵ Area of triangle = = cm² = cm² = cm² = 864 cm² Hence, the area of the triangle is 864 cm².

Mathematics

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

Mensuration

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Mathematics

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

Mensuration

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