Question

The perimeter of triangular field in 450 m and its sides are 13:2:5 find the area of triangle .

Answer 1

let triangle ABC have which has side xyz respectively Now it is given that their sides are in the ratio of 13:2:5 which implies that there has to be a common factor let that common factor be x then the equation would be 13 n + 2 n + 5n equals to 450

on simplifying we will get x equals to 45 upon 2 , now multiply 45 by 2 with 13 ,2 and 5 respectively from this you will get their respective sides measurement . now just use herons formula and you will get the answer.

Answer 2

Answer:

Perimeter of triangular field=450m

It's sides are in ratio 13:2:5

let ->13 be 13x

->2 be 2x

->5 be 5x

Then,

=>13x + 2x + 5x = 450

=>20x=450

=>x=450/20

=>22.5

So,

13x=13×22.5=292.5m

2x=2×22.5=45m

5x=5×22.5=112.5m

Area of triangle =1/2×b×h

=1/2×5062.5

=2531.25