Question

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

Answer 1

Let the sides of a triangular plot is 3x , 5x and 7x
3x + 5x + 7x = 300 m
15x = 300
x = 300/15
x = 20
then the sides of triangular plot is
3x = (3 × 20) = 60
5x = (5 × 20) = 100
7x = (7 × 20) =140
now the area of triangular plot is

area =
$\sqrt{s(s - a)(s - b)(s - c)}$
$\sqrt{150(150 - 60)(150 - 100)(150 - 140)}$
$1500 \sqrt{3 \: \: \: {m}^{2} }$

Answer 2

Answer:

The answer is 1500√3 m².

Step-by-step explanation:

The sides of a triangular plot are given as 3:5:7.

Let the sides,

a=3x ;. b=5x ; c=7x.

Perimeter = 3x+5x+7x

300 = 15x

x = 300/15

x = 20.

Now,

a=3x=3×20

= 60m.

b=5x=5×20

= 100m.

c=7x=7×20

= 140m.

Therefore,

Semi perimeter = a+b+c/2

= 60+100+140/2

= 300/2

= 150m.

So,

Area = √s(s-a)(s-b)(s-c)

= √150(150-60)(150-100)(150-140)

= √150×90×50×10

= √30×5×30×3×5×10×10

= 30×5×10√3

= 1500√3......

.Answer..

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