Question

the sides of a triangular plot are in the ratio 3:5:7 and its perimeter is 300m. Find its area. Take root 3 = 1.732
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Answer 1

Step-by-step explanation:

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Answer 2

Answer:

$1500\sqrt{3} = (1500)(1.732) = 2598$

Step-by-step explanation:

The sides of the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also, it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

15x=300

x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now, using herons formula $s = \frac{60+100+140}{2} =\frac{300}{2}$

i.e, 150m

A = $\sqrt{s(s-a)(s-b)(s-c)} = \sqrt{150(150-60)(150-100)(150-140)}$

A = $\sqrt{6750000}$

That implies, $A = 1500\sqrt{3}$$m$

i.e, $(1500)(1.732) = 2598$

Therefore, the area of the triangular plot is 2598.

Thank you