Question

The perimeter of
is 450 m. and its sides
triangular
field are in the ratio 13:12:5. Find the area of the triangle .​

Answer 1

Answer:

Let the sides of the triangle be

a = 12x

b = 5x

C = 13x

Given that the perimeter = 450 m

- 12x + 5x + 13x = 450

30x = 450

⇒ x = 15

Hence, the sides of a triangle are

a = 12x = 12(15) = 180 m

b= 5x = 5(15) = 75m

c=13x = 13(15) = 195 m

Now,

semi-permeter of a triangle,

S =

a+b+c

2

180 +75 +195

2

Area of trionale -

Concept No

450

2Area of triangle =

s(sa)(s b)( sc)

√225(225-180)(225-75) (225-195)

= √225 x 45 x 150 x 30

=√15 x 15 x 9 x 5 x 25 x 6 × 5 × 6

=√15 x 15 x 3 x 3 x 25 x 25 x 6 x 6

= 15 x 3 x 25 x 6

= 6750 m²