Question

The perimeter of a triangle is 72 metres. The sides are in the ratio 3:4:5. Find the length of the longest side?

Answer 1

the longest side is 30metre.

Answer 2

Let the sides of the triangle be

3x,4x and 5x

The perimeter = 72metres

As we know that,

sum of the sides of the triangle=perimeter

Therefore,

3x+4x+5x=72

12x=72

x=72÷12

x=6

Therefore, the first side= 3x =3×6= 18metres

The second side= 4x= 4×6= 24metres

The third side= 5x= 5×6 =30metres

So the longest side is the third side of 30 meters