Question

1. the ratio of the measures of the sides of a triangle is 9:12:5. if the perimeter of the triangle is 130 feet, find the measures of the sides.

Explanation:

Step1: Define side variables

Let the sides be $9x$, $12x$, $5x$.

Step2: Sum sides to perimeter

$$9x + 12x + 5x = 130$$

Step3: Solve for $x$

$$26x = 130 \implies x = \frac{130}{26} = 5$$

Step4: Calculate each side

First side: $9 \times 5 = 45$
Second side: $12 \times 5 = 60$
Third side: $5 \times 5 = 25$

Answer:

The side lengths are 45 feet, 60 feet, and 25 feet.