Final answer:
To find the length of the two equal sides of a triangle with a perimeter of 36 cm and the third side measuring 14 cm, we subtract the length of the third side from the total perimeter and divide by two. Each of the equal sides measures 11 cm.
Step-by-step explanation:
The student's question is about finding the lengths of the two equal sides of a triangle when the perimeter (distance around the triangle) and the length of the third side are given. The perimeter of the triangle is 36 centimeters, and the third side is 14 centimeters. To solve this, we use the fact that the sum of the lengths of all sides of the triangle equals the perimeter. Let the length of each of the equal sides be represented by x. So, we have the equation:
2x + 14 = 36
Subtracting 14 from both sides gives:
2x = 22
Dividing both sides by 2 gets us:
x = 11
Therefore, the length of each of the other two sides is 11 centimeters.