Find the area of a triangle with sides 4, 5 and 6

We can find the area of a triangle in terms of its semi
perimeter and the sides.

If the semi perimeter, s = (a + b
+ c)/2 = (4+5+6)/2 = 15/2

The area of the triangle can be
found using the relation Area = sqrt [
s*(s-a)*(s-b)*(s-c)]

sqrt [
s*(s-a)*(s-b)*(s-c)]

=>  sqrt [(15/2)*((15/2) –
4)*((15/2)-5)*((15/2)-6)]

=> sqrt
[(15/2)*(7/2)*(5/2)*(3/2)]

=> sqrt
[98.4375]

=>  9.92
(approximately)

The area of the triangle is
approximately 9.92.