Question

The side of a triangular flower bed are 5m,8m and 11m.Find the area of the flower bed.

Answer 1

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Answer 2

Hello Mate!

Heron's formulae :-

$s = \frac{a + b + c}{2} \\ \sqrt{s(s - a)(s - b)(s - c)} \\ s = \frac{5 + 8 + 11}{2} = 12cm \\ \sqrt{12(12 - 11)(12 - 8)(12 - 5)} \\ \sqrt{12 \times 1 \times 4 \times 7} \\ \sqrt{2 \times 2 \times 3 \times 2 \times 2 \times 7 } \\ = 2 \times 2 \sqrt{7 \times 3} \: {m}^{2} \\ = 4 \sqrt{21} {m}^{2} = 18.3 {m}^{2}$

Hope it helps☺!