The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area. Take .

Given, Sides of a triangle are in the ratio = 3 : 5 : 7 Perimeter = 300 m Let a = 3x cm, b = 5x cm and c = 7x cm. Given, ⇒ Perimeter = 300 m ⇒ a + b + c = 300 ⇒ 3x + 5x + 7x = 300 ⇒ 15x = 300 ⇒ x = = 20. Substituting value of x, a = 3x = 3 × 20 = 60 m, b = 5x = 5 × 20 = 100 m, c = 7x = 7 × 20 = 140 m. We know that, Semi-perimeter (s) = = 150 m. Area of triangle = Substituting values we get, Hence, area of triangle = 2598 m 2 .

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Mathematics

The sides of a triangular plot are in the ratio 3 : 5 : 7 and its perimeter is 300 m. Find its area. Take .

Mensuration

Related Questions

If the lengths of the sides of a triangle are in the ratio 3: 4 : 5 and its perimeter is 48 cm, find its area.

If the perimeter of an equilateral triangle is 36 cm, calculate its area and height.

Find the area of an isosceles triangle whose equal sides are 12 cm each and the perimeter is 30 cm.

ABC is a triangle in which AB = AC = 4 cm and ∠A = 90°. Calculate the area of △ABC. Also find the length of perpendicular from A to BC.