Question

The sides of triangle are 100 m, 120 m and 140 m.

Find its area (Use √6 = 2.45)​

Answer 1

Step-by-step explanation:

area of triangle=

$area \: of \: triangle = \sqrt{s(s - a)(s - b)(s - c) }$

$where \: s = \frac{a + b + c}{2} = \frac{100 + 120 + 140}{2} = \frac{360}{2} = 180$

$now \: area = \sqrt{180(180 - 100)(180 - 140)(180 - 120)} \\ = \sqrt{180(80)(40)(60)} \\ = \sqrt{34560000 } \\ = \sqrt{576 \times 6 \times 10000} \\ = \sqrt{ {24}^{2} \times {10}^{2} \times 6 } \\ = 24 \times 10 \times \sqrt{6 } \\ = 240 \times 2.45 \\ = 588 {m}^{2}$