Question

sides of triangl6 are in ratio 3:5:7 and its perimeter is 300 cm.Find its area ​

Answer 1

Answer:

ratio=3:5:7

let the numbers be=3x,5x,7x

3x+5x+7x=300

=15x=300

=x=300/15

=x=20cm

3x=60cm

5x=100cm

7x=140cm

make brainlist plzzzzzzzzzz

Answer 2

$\sqrt[1500]{3}{cm}^{2}$

Answer:

GIVEN :-

Perimeter = 300cm

Sides in ratio = 3:5:7

FIND:-

Area = ?

__________________________

☢Step by Step☢

Perimeter of triangle = Sum of all sides

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

3x+5x+7x = 300cm

15x = 300cm

x = $\frac{300}{15} cm$

= 20 cm

therefore, sides = 3x = 3×20=60cm

5x = 5×20=100cm

7x = 7×20=140cm

Sides = 60cm,100cm,140cm

NOW

By Heron's Formula-

Let a = 60cm, b = 100cm, c = 140cm

S =

$\frac{a + b + c}{2} \\\\ = \frac{60 + 100 + 140}{2} cm \\ = \frac{300}{2}cm \\ = 150cm$

Area =

$\sqrt{s(s - a)(s - b)(s - c)} sq.unit \\ = \sqrt{150(150 - 60)(150 - 100)(150 - 140)} \\ = \sqrt{150 \times 90 \times 50 \times 10} \\ = \sqrt{2 \times 3 \times 5 \times 5 \times 2 \times 3 \times 3 \times 5 \times 2 \times 5\times 5 \times 2 \times 5} \\ = \sqrt[1500]{3}$

Area of triangle =

$\sqrt[1500]{3}{cm}^{2}$