Question

In
an triangle the side are in the
ratio 3:4:5. Find the areas of the
triangle if its perimeter is 60m .​

Answer 1

Answer:

The area of Triangle is 150m².

Step-by-step explanation:

Let the sides of triangle be

3x, 4x and 5x

Now, 3x+4x+5x=60m

12x=60m

Therefore, x=5m

3x= 3x5= 15m

4x= 4x5= 20m

5x= 5x5= 25m

Now Using Heron's Formula

2s=60m(2s means perimeter and s means half-perimeter)

s= 30m

Now, √s(s-a)(s-b)(s-c)

√30(30—15)(30—20)(30—25)

√30x15x10x5

√3x2x5x3x5x2x5x5 = 3x2x5x5

=150m²

The area of the triangle is 150m².