Question

the side of a triangle are in the ratio 5: 12: 13 and its perimeter is 150 metre find the area of a triangle​

Answer 1

Answer:

the sides are 25cm, 65cm, 60cm

Step-by-step explanation:

let the sides be 5x,12x,13x

perimeter =5x+12x+13x=150m

=30x=150

=x=150/30

x=5

substituting the value of x

5x=25cm

12x=60cm

13x=65cm

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Answer 2

Let the sides be 5x , 12x and 13x

So,

Perimeter = 150

5x + 12x + 13x = 150

30x = 150

x = 150/30 = 5

The sides are 25, 60, 65

Now,

semi-perimter = 150 / 2 = 75

So, area =

$= \sqrt{75(75 - 25)(75 - 60)(75 - 65)}$

$= \sqrt{75 \times 50 \times 15 \times 10}$

$= 10 \times 5 \times 3 \times 5$

$= 750 \: {m}^{2}$