Answer:
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
=
72(72−36)(72−48)(72−60)
=
72(36)(24)(12)
=
746496
= 864
So, the area of triangle is 864 cm
2
and the height corresponding to longest side h=
60
2×864
=28.8cm
