Question

if (s-a)=8cm (s-b)=5cm(s-c)=3 then find the area of the triangle

Answer 1

Step-by-step explanation:

$s - a + s - b + s - c = 8 + 5 + 3 \\ 3s - (a + b + c) = 16 \\ 3s - 2s = 16 \\ s = 16 \\ area = \sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{16 \times 8 \times 5 \times 3} \\ = \sqrt{4 \times 4 \times 2 \times 2 \times 2 \times 5 \times 3} \\ = 4 \times 2 \sqrt{2 \times 5 \times 3} \\ = 8 \sqrt{30} sq.units \\ = = = = = = = = = = = = = = = =$