Question

sides of a triangle in the ratio 3:5:7 and perimeter 300. find ita area


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Answer 1

Answer:

⇒Ratio of sides = 3:5:7

⇒ Let sides be 3x, 5x, 7x

⇒ So 3x + 5x + 7x = 300m

⇒15x = 300m

⇒ x = 20 m

Sides are 60m, 100m, 140m

s = 300/2

s=150

Herons Formula = $\sqrt{s(s-a)(s-b)(s-c)}$

⇒$\sqrt{150(90)(50)(19)}$

⇒$\sqrt{5*3*10*3*3*10*5*10*10}$

⇒100*5*3$\sqrt{3}$

⇒1500$\sqrt{3}$

Therefore the area o triangle is 1500$\sqrt{3}$

Hope it helps you