Question

the perimeter of a scalene triangle is 145 cm. the longest side is twice that of the shortest side. which equation can be used to find the side lengths if the longest side measures 62 cm? choose the correct answer. 9.3 + b = 145 18.6 + b = 145 62 + b = 145 124 + b = 145

Explanation:

Step1: Identify the longest - side length

The longest side is given as 62 cm.

Step2: Recall the perimeter formula

The perimeter \(P\) of a triangle is \(P=a + b+ c\). Here, \(P = 145\) cm and one side (the longest side) is 62 cm. Let the other non - shortest side be \(b\). So the equation for the perimeter is \(62 + b+\text{(shortest side)}=145\). Since we are not concerned with the shortest side in setting up the equation to find \(b\) in terms of the given information, the equation to find \(b\) is \(62 + b=145\).

Answer:

The correct answer is \(62 + b = 145\)