The ratio of the measures of the sides of a triangle is 4:5:5. If it's perimeter is 91 meterd, find each side length

Answer 1

Since the sides are in the ratio 4:5:5 the actual sides can be represented by 4x, 5x, and 5x. Since the perimeter is 91 we can model the situation with the equation: 4x + 5x + 5x = 91 => 14x = 91 => x = 91/14.

So the sides are:

4(91/14) = 364/14 (note normally this would be reduced, but the other sides will be in terms of 14ths, so let's leave it).

5(91/14) = 455/14

5(91/14) = 455/14

Check:

364/14 + 455/14 + 455/14 = 1274/14 = 91