The perimeter of an isosceles triangle is 32 cm while its equal sides together measure 18 cm. Find the length of the other side
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 14 cm
Step-by-Step Calculation:
Understand the Properties:
An isosceles triangle has two equal sides and one base (the "other side").
Use the Perimeter Formula:
The perimeter of a triangle is the sum of all its three sides.
$\text{Perimeter} = (\text{Sum of equal sides}) + (\text{Length of the other side})$
Plug in the Given Values:
- $\text{Perimeter} = 32 \text{ cm}$
- $\text{Sum of equal sides} = 18 \text{ cm}$
Solve for the Other Side:
$32 = 18 + \text{Other side}$
$\text{Other side} = 32 - 18$
$\text{Other side} = \mathbf{14 \text{ cm}}$