Question

Please help quick time

Answer 1

`Area = 34.2cm^2`

Explanation:

Let the three sides be a, b and c respectively.

Such that:

`a = 8`

`b = 9`

`c= 10`

Required

Determine the area

This is calculated as:

`Area = \sqrt{s(s-a)(s-b)(s-c)`

Where

`s = (1)/(2)(a + b + c)`

Substitute values for a, b and c

`s = (1)/(2)(8 + 9 + 10)`

`s = (1)/(2)(27)`

`s = 13.5`

Substitute values for a, b, c and s in

`Area = \sqrt{s(s-a)(s-b)(s-c)`

`Area = \sqrt{13.5 * (13.5 - 8)* (13.5 - 9)* (13.5 - 10)`

`Area = \sqrt{13.5 * 5.5* 4.5* 3.5`

`Area = \sqrt{1169.4375`

`Area = 34.2` -- Approximated