Question

The sides of triangle are into ratio 3:5:7 perimeter 300m find its area

Answer 1

Step-by-step explanation:

Assumption: Let the sides be 3x, 5x and 7x respectively.

Now, according to the question,

3x + 5x + 7x = 300

=> x = 300/15

=> x = 20 m

3x = 3 × 20 = 60m

5x = 5 × 20 = 100m

7x = 7 × 20 = 140m

Semi - perimeter ( s ) = 300/2 m

= 150m

Area = √{150 × (150 - 60) × (150 - 100) × (150 - 140)} m²

= √ (150 × 90 × 50 × 10) m²

= 1500√3 m²

HOPE THIS ANSWER WILL HELP YOU AND PLEASE MARK THIS ANSWER THE BRAINLIEST ONE..

Answer 2

Ratio of sides = 3:5:7

let the sides be 3x, 5x & 7x

So , 3x + 5x + 7x = 300m

=> 15x = 300m

=> X =300 /15

=> x = 20m

Sides are 60m , 100m & 140m

S = 300/2 = 150m

Area of ∆ = √(s -a) (s - b) ( s - c)

= √ 150 × 90 × 50 × 10

=√ 5 × 3 × 10 × 3 × 3 × 10 × 5 × 10 × 10

= 100 × 5 ×3√3

= 1500√3m²