Question

The ratio of side of triangle is
6:14:10 and its perimeter is 600m
then find the area
of triangle
​

Answer 1

Step-by-step explanation:

ANSWER

The sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

15x=300

x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now using herons formula:

S=260+100+140=2300=150 m

Area of the triangle is:

A=s(s−a)(s−b)(s−c)=150(150−60)(150−100)(150−140)=150×90×50×10=6750000

=15003 m2

Hence, area of the triangular plot is 15003 m2.