Question

Calculate the area of the triangle with the following sides:

39 m, 42 m and 45 m

Answer 1

Given: Triangle with sides a = 39 m, b = 42 m, c = 45 m.

Step-wise calculation:

1. Compute the semi-perimeter:

`s = (a + b + c)/2` 

= `(39 + 42 + 45)/2` 

= `126/2` 

= 63 m

2. Use Heron’s formula:

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

= `sqrt(63(63 - 39)(63 - 42)(63 - 45))`

= `sqrt(63 xx 24 xx 21 xx 18)`

3. Multiply and simplify:

63 × 24 = 1512

21 × 18 = 378

1512 × 378 = 5,71,536

`sqrt(5,71,536) = 756`

Area = 756 m².