Question

The sides of a triangular plot are in the ratio of 6 : 7 : 8 and its perimeter is
420 m. Find its area.

Answer 1

Answer:

6x+7x+8x=420

21x=420

x=20

so,

6x=120

7x=140

8x=160

now,

Semi perimeter(S)=(120+140+160)/2

=210

a=210-120=90

b=210-140=70

c=210-160=50

area of triangle =

$\sqrt{s \times a \times b \times c}$

=8133.265msquare

Answer 2

Answer:

2100

P=420

S=420/2

 =210

6x + 7x + 8x = 420

x = 420/21

x = 20

120, 140, 160

A = $\sqrt$s [s-a] [s-b] [s-c]

A =  $\sqrt$210[90] [70] [50]

A = 2100