Question

find the area of the shaded portion in the figure shown below 8 cm 8 cm 8 cm​

Answer 1

Answer:

$16\sqrt{3}$ $cm^{2}$

$27.712$ $cm^{2}$ (in simplest form)

Step-by-step explanation:

Using herons formula, $\sqrt{s(s-a)(s-b)(s-c)}$

where $s = \frac{a+b+c}{2}$

and $a, b, c$ are the sides.

$s = \frac{a+b+c}{2} = \frac{8+8+8}{2} = \frac{24}{2} = 12 cm$

Area of the triangle = $\sqrt{s(s-a)(s-b)(s-c)}$

= $\sqrt{12(12-8)(12-8)(12-8)}$

= $\sqrt{12(4)(4)(4)}$

= $4\sqrt{3(4)(4)}$

= $16\sqrt{3}$ $cm^{2}$

= $27.712 cm^{2}$