Question

6. The sides of a triangle are 10 cm, 12 cm and 14 cm respectively, then its area
In sq cm. is-
a.24
b.18√3
c. 24√3
d. 18√2​

Answer 1

Heron's Formula =

s = a + b + c/2 = 10+12+14/2 = 18

$\sqrt{s(s - a)(s - b)(s - c)}$

$\sqrt{18(18 - 10)(18 - 12)(18 - 14)} \\ \\ = \sqrt{18(8)(6)(4)} = 3\times 4 \times 2 \sqrt{6}\\ \\ = 24 \sqrt{3}$

Ans : c) 24 root 3