Question

Calculate the aŕea of triangle whose sides are 18cm 24cm 30 cmin length also find the lenght of the altitude corresponding to smallest side

Answer 1

Given,
1 side=18cm
2 side=24cm
3 side=30cm
so, the semi perimeter is{S.P = Semi perimeter}
=(18+24+30)/2
=72/2
=36
so, area is
√[S.P(S.P- side1)(S.P-side2)(S.P- side3)]. {using heron's formula}
√[36(36-18)(36-24)(36-30)]
√[36*18*12*6]
216
Now according to the question,
1/2 * base* height=216
height=(216*2)/18
=432/18
=24cm
so its an right angled triangle.