Question

The perimeter of a triangular ground is 900 sides are in the ratio 3 ratio 4 ratio and pareshani using heron's formula find the area

Answer 1

Answer:

33750²

Step-by-step explanation:

$let \: the \: sides \: be \: 3x, \: 5x \: and \: 4x \\ \\ as \: per \: the \: question \\ \\ = > 3x + 5x + 4x = 900 \\ \\ = > 12x = 900 \\ \\ = > x = 75 \\ \\ therefore \: the \: sides \: are \: \\ 3x = 3 \times 75 = 225 \: m \\ 5x = 5 \times 75 =37 5 \: m \\ 4x = 4 \times 75 =30 0 \: \\ \\ s = \frac{900}{2} = 450 \: m \\ \\ \\ area \: is \: given \: by \\ = \sqrt{450(450 - 225)(450 - 375)(450 - 300)} \\ \\ = \sqrt{450 \times 225 \times 75 \times 150} \\ \\ = \sqrt{9 \times 5 \times 10 \times 15 \times 15 \times 5 \times 5 \times 3 \times 5 \times 3 \times 10} \\ \\ =33750 \: \: {m}^{2}$