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 a + a + 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: Recall perimeter formula

The perimeter formula for this isosceles triangle is $P = 2a + b$, where $P = 15.7$ cm and $a=6.3$ cm.

Step2: Substitute values

Substitute the known values into the formula: $15.7=2\times6.3 + b$.

Step3: Simplify left - hand side

First, calculate $2\times6.3 = 12.6$. So the equation becomes $15.7=12.6 + b$.

Step4: Solve for $b$

Subtract 12.6 from both sides of the equation: $b=15.7 - 12.6$.

Step5: Calculate $b$

$b = 3.1$ cm.

Answer:

$3.1$