Question

The lengths of the sides of the triangle are in the ratio 3:4:S and its perimeter is 144cm.Find the area of triangle and the height corresponding to the longest side.​

Answer 1

Answer:

Let the sides of triangles are 3x,4x and 5x.

And perimeter of the triangle is 144cm.

So , 3x+4x+5x=144

12x=144

x=12

so, the sides are triangle are 3(12)=36cm, 4(12)=48cm , 5(12)=60cm

so , the longest side is 60 cm.

Area of triangle = s(s−a)(s−b)(s−c)

here , s=72 and a=36, b=48 c=60

=

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