1.

Sides of a triangle are in the ratio of 12: 17: 25 and its perimeter is 540cm. Find its area.​

Answer»

Solution:-

The ratio of the sides of the triangle is given as 12 : 17 : 25

Now, let the common ratio between the sides of the triangle be “x”

∴ The sides are 12X, 17x and 25x

It is ALSO given that the perimeter of the triangle = 540 CM

12x + 17x + 25x = 540 cm

=> 54x = 540cm

So, x = 10

Now, the sides of triangle are 120 cm, 170 cm, 250 cm.

So, the semi perimeter of the triangle (s) = 540/2 = 270 cm

Using Heron’s FORMULA,

Area of the triangle

= √[s(s-a)(s-b)(s-c)]

= 9000 cm2

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Hope it will be helpful :)


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