Question

in the triangular plot are in the ratio 2:4:5, the longest side of 36 cm. find the area of triangle​

Answer 1

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

=1500 root 3 m 2

Hence, area of the triangular plot is 1500 root 3 m 2.