Question

The area of a triangle is 150cm and its sides are in the ratio 3:4:5. 1
What is its perimeter.​

Answer 1

Answer:

Given ratio=3:4:5

So we can consider the sides as

a=3x cm

b=4x cm

c= 5x cm

$so \: semi \:perimeter = s = \frac{3x + 4x + 5 x}{2} \\ = \frac{12x}{2} \\ = 6x$

$\sqrt{s(s - a)(s - b)(s - c)} \\ = \sqrt{6x(6x - 3x)(6 x- 4x)(6 x- 5x)} \\ = \sqrt{6x \times 3x \times 2x \times x } \\ = \sqrt{2x \times 3 x\times 3 x\times 2x \times x}$

so, Area of triangle=1/2×base×height.