Question

The sides of a triangle are in the ratio of 2:3:4. If the measure of the shortest side of the triangle is 12 centimeters, what is the length of the longest side?

16 cm
18 cm
24 cm
36 cm

Answer 1

Option 3rd is correct that is 24 cm.

Explanation:

We have been given the shortest side of the triangle which is 12 centimeters.

We have been given the ratio of the three sides of the triangle

let the unknown side of the triangle be x

So, according to the ratio given we will have sides as:

2x : 3x :4x

since, shortest side is 12

So, 2x=12

x=6

Now, we have to find the longest side which is 4x

So, the required side is: 4 x 6 =24 centimeters

Therefore, option 3rd is correct.

Answer 2

To answer this, we let x some factor that would agree or make the ratio given true. We calculate as follows:

2:3:4
2x:3x:4x

2x = 12
x = 6

Therefore, the length of the longest side would be 4x = 4(6) = 24 cm, third option.