Question

the perimeter of a triangle field in 300 CM if the sides are in the ratio of 357 find the area of triangle field

Answer 1

hope this will help u

Answer 2

$\text {Your answer :- }$

Sides of Triangle are in ratio = 3:5:7

Perimeter of Triangle = 300cm

$let \: the \: common \: ratio = x \\ \\ perimeter \: of \: triangle = a + b + c \\ \\ = > 300 = 3x + 5x + 7x \\ \\ = > 300 = 15x \\ \\ = > \frac{300}{15} = x \\ \\ = > 20 = x$

$\textbf {Side a = 3x = 3 \times 20 = 60cm}$

$\textbf {Side b = 5x = 5 \times 20 = 100cm}$

$\textbf {Side c = 7x = 7 \times 20 = 140cm}$

$semi \: perimeter = \frac{300}{2} = 150cm \\ \\ = > area = \sqrt{s(s - a)(s - b)(s - c)} \\ \\ = > area = \sqrt{150(150 - 60)(150 - 100)(150 - 140)} \\ \\ = > area = \sqrt{150 \times 90 \times 50 \times 10 } \\ \\ = > area = 300 \sqrt{3} {cm}^{2}$

$\text{Thanks!!}$