Question

Determine whether a triangle can be formed with the given side lengths. If so, use Heron's formula to find the area of the triangle. . . a = 240 . b = 127 . c = 281

Answer 1

The answer is 15,183.77 feet.

Answer 2

15183.77 square units

Explanation:

We are given that

a=240 units

b=127 units

c=281 units

If given sides form triangle then sum of any twos sides is greater than third side.

`a+b=240+127=367 >c=281`

Hence, given sides form triangle.

Half perimeter of triangle =
`s=(a+b+c)/(2)=(240+127+281)/(2)=324 units`

Heron's formula : Area of triangle =
`√(s(s-a)(s-b)(s-c))`

Apply this formula ,

Area of triangle =
`√(324(324-240)(324-127)(324-281))`

Area of triangle=15183.77 square units