Answered

Get expert insights and reliable answers to your questions on IDNLearn.com. Our platform provides prompt, accurate answers from experts ready to assist you with any question you may have.

This isosceles triangle has two sides of equal length, [tex]a[/tex], that are longer than the length of the base, [tex]b[/tex]. The perimeter of the triangle is 15.7 centimeters. The equation [tex]2a + b = 15.7[/tex] models this information. If one of the longer sides is 6.3 centimeters, which equation can be used to find the length of the base?

Sagot :

GinnyAnsweridn
Certainly! Let's solve the problem step-by-step.

1. We know that the perimeter of the isosceles triangle is given by the equation:
[tex]\[ 2a + b = 15.7 \][/tex]

2. We are also informed that each of the two equal sides, [tex]\(a\)[/tex], is 6.3 centimeters. So we can substitute [tex]\(a = 6.3\)[/tex] into the equation.

3. Substituting [tex]\(a = 6.3\)[/tex] into the perimeter equation, we get:
[tex]\[ 2(6.3) + b = 15.7 \][/tex]

4. Simplify [tex]\(2(6.3)\)[/tex] to get:
[tex]\[ 12.6 + b = 15.7 \][/tex]

5. To find [tex]\(b\)[/tex], we need to isolate it by subtracting 12.6 from both sides of the equation:
[tex]\[ b = 15.7 - 12.6 \][/tex]

6. Performing the subtraction gives:
[tex]\[ b = 3.1 \][/tex]

Hence, the length of the base, [tex]\(b\)[/tex], is 3.1 centimeters. The equation used to find the length of the base [tex]\(b\)[/tex] was [tex]\(b = 15.7 - 12.6\)[/tex].
We appreciate your participation in this forum. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.