Question

1. the ratio of the sides of a triangle is 2:6:7. if the perimeter of the triangle is 195 meters, what is the length of the longest side?

Explanation:

Step1: Find the sum of the ratio parts

The ratio of the sides is \(2:6:7\). The sum of the ratio parts is \(2 + 6+7=15\).

Step2: Find the value of one part

The perimeter of the triangle is \(195\) meters. Let one part of the ratio be \(x\). Then \(15x = 195\). Solving for \(x\), we get \(x=\frac{195}{15}=13\).

Step3: Find the length of the longest side

The longest side corresponds to the ratio part \(7\). So the length of the longest side is \(7x\). Substituting \(x = 13\), we get \(7\times13 = 91\) meters.

Answer:

\(91\) meters