Question

How do you find the area given `a=5, b=7, c=10`?

Answer 1

Area of triangle is `16.25`

Explanation:

Given three sides `a,b` and `c` of a triangle, its are is given by `sqrt(s(s-a)(s-b)(s-c))`, where `s=1/2(a+b+c)`.

As `a=5`, `b=7` and `c=10`, we have `s=1/2(5+7+10)=1/2×22=11`

Hence, area of triangle is `sqrt(11(11-5)(11-7)(11-10))`

= `sqrt(11×6×4×1)`

= `sqrt264=16.25`