Question

the sides of a triangular plot are in the ratio 7,8,10. the perimeter is 250m. find the length of the sides?​

Answer 1

Answer:

7+8+10 = 25m

1st part = 7 × 250 ÷ 25

1750 ÷ 25

Ans = 70m

2nd part = 8 × 250 ÷ 25

2000 ÷ 25

Ans = 80m

3rd part = 10 × 250 ÷ 25

= 2500 ÷ 25

Ans = 100m

Answer 2

The sides of a the triangular plot are in the ratio =7:8:10

let the sides of the triangle =7x,8x,10x

perimeter of the triangle= 250 m

7x +8x+10x=250

7x+18x=250

25x=250

x=250/25

x=10

Put value of x

7x=7×10=70

8x=8×10=80

10x=10×10=100

Now using herons formula:

S=a+b+c/2

S=(70+80+100)/2

S= (70+180)/2

S=250/2

S=125

Area of the triangle is:

A= √s(s−a)(s−b)(s−c)

=√125(125-70)(125-80)(125-100)

=√125× 55×45×25

=√7734375

=√2781.07