Question

the perimeter of a triangle is 300m . if its side are in the ration 3:5:7 find the area of the triangle​

Answer 1

Answer:

25.9×100 m2:

Step-by-step explanation:

let common ratio b x

sides 3x 5x 7x

3x + 5x + 7x = 300

x = 20

sides 3x = 3×20= 60

5x = 5×20= 100

7x = 140

area of triangle using hero's formula

s= a+b+c /2 =300/2=150

sqaure root s (s-a)( s-b) ( s-c)

150×50×10×90= 75 x9x 1000

= 25.9x 100 msq

Answer 2

Answer:

let the sides be 3x,5x,7x

then perimeter =300m

3x+5x+7x=300

15x=300

x=300/15

=20

the sides are

$3 x = 3 \times 20 = 60 \\ 5x = 5 \times 20 = 100 \\7x = 7 \times 20 = 140$

$area \: of \: triangle \: = 1 \div 2(b \times h) \\ \: \: \: \: \: \: \: = 300 \times 100 \div 2 \\ = 15000m ^{2}$