Question

Sides of triangles are in ratio 3:5:7 and its
perimeter is 300. Find its area.

Answer 1

Answer:

Step-by-step explanation:

Let the sides of the triangle be 3x,5x,7x

Perimeter of the triangle=300 m

So 3x+5x+7x=300

=> 15x=300

=> x=300/15=20

So the sides are 3×20=60 m

5×20=100 m and 7×20=140 m

Semi perimeter of the triangle=300/2=150

So area of the triangle

=√ s(s-a)(s-b)(s-c)

=√150(150-60)(150-100)(150-140)

=√150×90×50×10

=√15×10×9×10×5×10×10

=100√15×9×5

=100×√5×3×3×3×5

=100×15√3

=1500√3 m²

Thus the area of the triangle is

1500√3 m².

Hope you got it and it helps you.