Question

this isosceles triangle has two sides of equal length, a, that are longer than the length of the base, b. the perimeter of the triangle is 15.7 centimeters. the equation 2a + b = 15.7 can be used to find the side lengths. if one of the longer sides is 6.3 centimeters, what is the length of the base? cm

Explanation:

Step1: Substitute the value of \(a\) into the equation

Given \(a = 6.3\) and the equation \(2a + b=15.7\). Substitute \(a\) into the equation: \(2\times6.3 + b=15.7\).

Step2: Simplify the left - hand side of the equation

Calculate \(2\times6.3=12.6\). The equation becomes \(12.6 + b=15.7\).

Step3: Solve for \(b\)

Subtract \(12.6\) from both sides of the equation: \(b=15.7 - 12.6\).

Answer:

\(3.1\)