Question

The sides of a triangular plot are in the ratio of 6:7:8and it's perimeter is 420m.find it's area.

Answer 1

Hey mate...
Here is your answer...

Let's the sides be 6x,7x,8x.

Perimeter =420
6x+7x+8x=420
21x =420
X =420/21
X=20


So we get the sides as,
120, 140, 160.

Area of triangle can be found out by using the Herons formula

Area =
$\sqrt{s(s - a)(s - b} )(s - c)$
S=a+b+c/2
=120+140+160÷2
=420/2
=210


$\sqrt{210 \: (90)} (70) \: (50)$
$\sqrt{210 \times 6300 \times 50 }$
$\sqrt{210 \times 315000}$
$\sqrt{6615000}$
$= 2571.96$

Hope this helps you....

Answer 2

Answer:

Let's the sides be 6x,7x,8x.

Perimeter =420

6x+7x+8x=420

21x =420

X =420/21

X=20

So we get the sides as,

120, 140, 160.

Area of triangle can be found out by using the Herons formula

Area =

S=a+b+c/2

=120+140+160÷2

=420/2

=210

\sqrt{210 \: (90)} (70) \: (50)

\sqrt{210 \times 6300 \times 50 }

\sqrt{210 \times 315000}

\sqrt{6615000}

= 2571.96

Hope this helps you....