Question

the perimeter of a scalene triangle is 14.5 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 6.2 cm? choose the correct answer. 9.3 + b = 14.5 18.6 + b = 14.5 6.2 + b = 14.5 12.4 + b = 14.5

Explanation:

Answer:

Since the longest side \(2a = 6.2\) cm, then \(a=3.1\) cm. The perimeter of the triangle is \(14.5\) cm. Let the third - side be \(b\). The perimeter of a triangle is the sum of the lengths of its sides. So \(a + 2a + b=14.5\), substituting \(a = 3.1\) and \(2a = 6.2\) into the equation, we get \(3.1+6.2 + b=14.5\), or \(9.3 + b=14.5\).
A. \(9.3 + b=14.5\)