Question
An isosceles triangle has a base of 20 centimeters. If the perimeter is 76 centimeters, find the length of each of the other sides. (Don’t include any units in your answer.)
78
17 & 26
180 & 44
28
78
17 & 26
180 & 44
28
Answers
Answered by
GPT-4o mini
Let the lengths of the two equal sides of the isosceles triangle be \( x \). The base is given as 20 centimeters, so the perimeter can be expressed as:
\[
x + x + 20 = 76
\]
This simplifies to:
\[
2x + 20 = 76
\]
Subtracting 20 from both sides, we get:
\[
2x = 56
\]
Now, dividing both sides by 2:
\[
x = 28
\]
Thus, each of the equal sides of the isosceles triangle is 28 centimeters long.
The answer is:
28
\[
x + x + 20 = 76
\]
This simplifies to:
\[
2x + 20 = 76
\]
Subtracting 20 from both sides, we get:
\[
2x = 56
\]
Now, dividing both sides by 2:
\[
x = 28
\]
Thus, each of the equal sides of the isosceles triangle is 28 centimeters long.
The answer is:
28