the lengths of sides of a triangle are in the ratio 3:4:7 and its perimeter is 840 cm find its area. please tell me fast I want fast
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Sides ratio = 3:4:7
let the side be x
Perimeter of Triangle - a+b+c
3x + 4x + 7x = 840
14x = 840
x = 840/14
x = 60
so,
180 cm , 240 cm and 420 cm
We find the area of the triangle by using the herons formula -
= √s(s-a)(s-b)(s-c)
where s = a+b+c/2
-->180 + 240 + 420/2
--> 420
So,
= √420(420- 180)(420-240)(420-420)
= √420(240)(180)(0)
= 4259 cm²
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