Question

using an equation with two variables to solve a problem
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?
(square) cm

Explanation:

Step1: Identify the value of \( a \)

Given that one of the longer sides (which is \( a \)) is \( 6.3 \) cm.

Step2: Substitute \( a \) into the perimeter equation

The perimeter equation is \( 2a + b = 15.7 \). Substitute \( a = 6.3 \) into the equation:
\( 2\times6.3 + b = 15.7 \)

Step3: Calculate \( 2\times6.3 \)

\( 2\times6.3 = 12.6 \)

Step4: Solve for \( b \)

Subtract \( 12.6 \) from both sides of the equation:
\( b = 15.7 - 12.6 \)
\( b = 3.1 \)

Answer:

\( 3.1 \)