Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D/3D

Question:

The perimeter of an isosceles triangle is 32 cm while its equal sides together measure 18 cm. Find the length of the other side

Options:

9 cm

14 cm

8 cm

7 cm

Correct Answer:

14 cm

Explanation:

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:

$32 = 18 + \text{Other side}$

$\text{Other side} = 32 - 18$

$\text{Other side} = \mathbf{14 \text{ cm}}$