Question

review!

1. the ratios of the measures of the sides of a triangle is 4:10:7. find the length of each side if the perimeter of the triangle is 252 meters.

Explanation:

Step1: Calculate the sum of the ratio parts

The sum of the ratio parts is \(4 + 10+7=21\)

Step2: Find the value of one part

Since the perimeter is \(252\) meters, one part is \(\frac{252}{21} = 12\)

Step3: Calculate the length of each side

• For the side with ratio \(4\): \(4\times12 = 48\)
• For the side with ratio \(10\): \(10\times12=120\)
• For the side with ratio \(7\): \(7\times12 = 84\)

Answer:

The lengths of the sides are \(48\) meters, \(120\) meters, and \(84\) meters.