If the side lengths of triangle ABC have the ratio 2 : 3 :4 and the perimeter is 108 calculate each side length for triangle ABC

Respuesta :

Shortest side = 2 / (2+3+4) = 2/9 of the perimeter

= 2/9 * 108 = 24

the other 2 sides are 1/3 * 108 = 36 and 4/9 * 108 = 48

So 3 sides are 24, 36 and 48 units long

The length of the different sides of the rectangle is 24 units, 36, units, and 48 units.

What is the perimeter?

Perimeter is the sum of the length of the sides used to make the given figure.

Given that the ratio of the sides is 2 : 3 :4 and the perimeter is 108 units. Therefore, the perimeter of the triangle can be written as,

Perimeter = 2x + 3x + 4x

108 units = 9x

(108 units)/9 = x

x = 12 units

Now, the length of each side of the triangle can be written as,

2x = 2(12 units) = 24 units

3x = 3(12 units) = 36 units

4x = 3(12 units) = 48 units

Hence, the length of the different sides of the rectangle is 24 units, 36, units, and 48 units.

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