Question

The sides of a triangular plot are in the ratio of 3:5:7 and its perimeter is 300m . find its area.​

Answer 1

Step-by-step explanation:

let the sides be x

• 3x : 5x : 7x

Perimeter of triangle = 300 m

Perimeter of triangle = sum of all sides

300 = 3x + 5x + 7x

300 = 15x

x = 300 / 15

x = 20 m

• sides are 60m , 100m , 140m

area of triangle =

$= \sqrt{s \: (s - a) \: (s - b) \:( s - c)}$

$s = \frac{a + b + c}{2}$

$s = \frac{60 + 100 + 140}{2}$

$s = 150$

$= \sqrt{150(150 - 60)(150 - 100)(150 - 140)}$

$\sqrt{150 \times 90 \times 50 \times 10}$

$\sqrt{6750000}$

$= 2598.076 \: {m}^{2}$