Question

The sides of a triangle are in the ratio of 3 : 4 : 5 and its perimeter is 510 m. What is the area of triangle?​

Answer 1

Step-by-step explanation:

Given, Side of triangle are in ratio 3:4:5

and

their perimeter =510m

Let the sides of triangle be 3x,4x&5x

Perimeter =>

3x+5x+4x=510

12x=510

x=510/12

x=42.5

Then sides of triangle are

4x=4×42.5=170m

3x=3×42.5=127.5m

5x=5×42.5=212.5m

the longest side is 212.5

=> S = 212.5 + 42.5 = 255m

Then the area of triangle is : √s(s-a)(s-b)(s-c)

=> √255(255-170)(255-127.5)(255-212.5)

=> √255(85)(127.5)(42.5)

=> √255*460593.75

=> √117,451,406.25

=> 10837.5m²