Question

The triangle has the sides AB = 4cm BC = 6cm AC = 8cmCalculate the triangles Area

Answer 1

Given: A triangle ABC with sides AB=4cm, BC=6cm and AC=8cm

Required: To find out the area of the given triangle.

Explanation: Area of the triangle by Heron's formula is given by,

`A=√(s(s-a)(s-b)(s-c))`

where, a,b,c are the sides of triangle and s is the semi-perimeter given by,

`s=((a+b+c))/(2)`

Now, let a=4, b=6 and c=8. Hence the semi perimeter s is-

`s=(4+6+8)/(2)`
`s=9\text{ cm}`

Now, putting these values of s, a, b, and c in Heron's formula we get,

`A=√(9(9-4)(9-6)(9-8))`
`A=√(9*5*3*1)`
`A=3√(15)\text{ }cm^2`
`A=11.61\text{ }cm^2`

Final Answer: Area of triangle is 11.61 sq cm.