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

1 answer

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