Question

Calculate the sides of triangle ABC with area 883 cm’and if a: b: c = 15.7:19​

Answer 1

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Step-by-step explanation:

Answer 2

Solution :-

Let us Assume that, side of ∆ABC are 15x , 7x and 19x respectively .

Than, By Heron's formula ,

→ Semi-perimeter of ∆ABC = (15x + 7x + 19x)/2 = 20.5x cm.

So,

→ Area of ∆ABC = √s(s-a)(s-b)(s-c

→ √{20.5x * (20.5x - 15x) * (20.5x - 7x) * (20.5x - 19x)} = 883

→ √{20.5x * 5.5x * 13.5x * 1.5x} = 883

Squaring Both sides ,

→ 20.5x * 5.5x * 13.5x * 1.5x = 883 * 883

→ 2283.1875x⁴ = 883 * 883

→ x⁴ = 341.491445621

→ x ≈ 4.3 cm.

Therefore, Side of ∆ABC :-

→ 15x = 15*4.3 = 64.5 cm.

→ 7x = 7*4.3 = 30.1 cm.

→ 19x = 19*4.3 = 81.7 cm.