Question

find the area of triangle whose side are 120 CM 170 cm 250 CM heroine formula​

Answer 1

Answer:

$Area \: of \: triangle = 9000 {cm}^{2}$

Step-by-step explanation:

$a=120cm, \: b=170cm, \: c=250cm \\ s = \frac{a + b + c}{2} = \frac{120 + 170 + 250}{2} = \frac{540}{2} = 270cm \\ Therefore, \: the \: area \: of \: triangle \\ </p><p>= \sqrt{s(s - a)( s- b)( s- c)} \\ = \sqrt{270(270 - 120)(270 - 170)(270 - 250)} \\ = \sqrt{270 \times 150 \times 100 \times 20} \\ = \sqrt{2 \times 3 \times 3 \times 3 \times 5 \times 2 \times 3 \times 5 \times 5 \times 2 \times 2 \times 5 \times 5 \times 2 \times 2 \times 5} \\ = \sqrt{2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 3 \times 3 \times 3 \times 3 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5} \\ = 2 \times 2 \times 2 \times 3 \times 3 \times 5 \times 5 \times 5 \\ = 9000 {cm}^{2}$