Question

sides of a triangle are in ratio of 7:3:5 and it's perimeter is 300 cm^2 .find its area​

Answer 1

Answer:

that's is answer

is it right

Answer 2

Given :

• Ratio of sides = 7:3:5

• Perimeter = 300 cm²

Solution :

Now, Let us Consider

Sides of the triangle be 3x, 5x, 7x

↪3x + 5x + 7x = 300m

↪15x = 300m

$\red{\boxed{ \bf{\sf \: x = 20 m}}}$

1) 7x = 7×20 = 140 m

2) 3x = 3×20 = 60 m

3) 5x = 5×20 = 100 m

Now, Sides are 140m ,60m ,100m

140 + 60 + 100 = 300m

By HERON'S Formula,

${\boxed{ \bf{\sf \: S = \frac{ a+b+c}{2}}}}$

${\boxed{ \bf{\sf \: S = \frac{300}{2} }}}$

$\purple{\boxed{ \bf{\sf \: S =150}}}$

${\boxed{ \bf{\sf \: Area = \sqrt{s(s - a)(s - b)(s - c)} }}}$

${\boxed{ \bf{\sf \: \sqrt{150(150 - 140)(150 - 60)(150 - 100)} }}}$

${\boxed{ \bf{\sf \: \sqrt{150(10 \times 90 \times 50)} }}}$

$\sqrt{15 \times 10000 \times 9 \times 5 }$

$\sqrt{75 \times {10}^{4} \times {3}^{2} }$

$\sqrt{75} \times 300$

$\sqrt{25 \times 3} \times 300$

$\sqrt{ {5}^{2} \times 3} \times 300$

$1500 \times \sqrt{3}$

$\bold\red{1500 \sqrt{ {3m}^{2}}}$