Question

The three sides of a triangle are in the ratio 2:4:5. if the shortest side of the triangle is 4 meters long, find the perimeter.

Answer 1

2 : 4 : 5
*2 *2 *2
4 : 8 : 10
4+8+10=22
The triangle is 22 meters long.

Answer 2

The perimeter of the triangle is 22 m.

The given ratio is,

2:4:5

So, the length of the first side(a)=2x

Length of the second side(b)=4x

Length of the third side(c)=5x

The formula for the perimeter of the triangle is,

Perimeter of the triangle=a+b+c

$2x=4\\ x=\frac{4}{2}\\ x=2$

So,

$a=4\\ b=4(2)=8\\ c=5x=5(2)=10$

The required perimeter is,

$a+b+c=4+8+10\\ =22 m$

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