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?
yes 2a+b=15.7
so
2*6.3 + b = 15.7
12.6 + b = 15.7
b = 15.7 - 12.6
To find the length of the base, we can substitute the given value for one of the longer sides into the equation 2a + b = 15.7 and solve for b.
Given:
One of the longer sides, a, is 6.3 centimeters.
Perimeter = 15.7 centimeters.
Substituting the given value into the equation:
2(6.3) + b = 15.7
Now we can solve for b.
First, simplify the equation:
12.6 + b = 15.7
Next, isolate the variable b on one side of the equation by subtracting 12.6 from both sides:
b = 15.7 - 12.6
Calculating the result:
b = 3.1
Therefore, the length of the base (b) of the isosceles triangle is 3.1 centimeters.