The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.
Area Trapezium Polygon
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Question

The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.

KnowledgeBoat · Accepted Answer

Given: Perimeter of the triangle = 96 cm The lengths of the sides of a triangle are in the ratio 4 : 5 : 3. Let the length of the sides of the triangle be 4a, 5a and 3a. ∵ Perimeter of triangle = sum of sides of the triangle. ⇒ 4a + 5a + 3a = 96 cm ⇒ 12a = 96 cm ⇒ a = cm ⇒ a = 8 cm So, the lengths of the sides are 4a, 5a and 3a. = 4 x 8, 5 x 8 and 3 x 8 = 32, 40 and 24 Let a = 32 m, b = 40 m and c = 24 m. ∵ Area of triangle = = cm² = cm² = cm² = 384 cm² Hence, the area of the triangle is 384 cm².

Mathematics

The lengths of the sides of a triangle are in the ratio 4 : 5 : 3 and its perimeter is 96 cm. Find its area.

Area Trapezium Polygon

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