Question

If you triple the first side of a triangle, you have the measure of the second side. The third side is the four times the first side decreased by nine. The perimeter of this huge triangle is 87 yards. How long is each side?

Answer 1

To find the lengths of the sides of the triangle, we need to follow the given information and solve the equation.

Step-by-step explanation:

To find the lengths of the sides of the triangle, we need to follow the given information:

Let the first side of the triangle be x.

The second side is triple the first side, so it is 3x.

The third side is 4 times the first side decreased by 9, so it is 4x - 9.

The perimeter of the triangle is the sum of the lengths of all three sides, which is 87 yards.

Therefore, we can write the equation: x + 3x + 4x - 9 = 87.

Simplifying the equation: 8x - 9 = 87.

Adding 9 to both sides: 8x = 96.

Dividing by 8: x = 12.

So, the lengths of the sides of the triangle are: x = 12 yards, 3x = 36 yards, and 4x - 9 = 39 yards.