Question

sides of a triangle are 5cm,10cm,9cm if it's area is √x cm2,then x=

Answer 1

$use \: herons \: formula \\ \sqrt{s(s - a)(s - b)(s - c)} = area = \sqrt{x} \\ s = \frac{10 + 9 + 5}{2} \\ s = 12 \\ \\ \sqrt{12(12 - 10)(12 - 5)(12 - 9)} = \sqrt{x} \\ \sqrt{12 \times 2 \times 7 \times \times 3} = \sqrt{x} \\ sq \: both \: sides \\ x = 24 \times 21 \\ x = 504$
hope it will help you..