Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The perimeter of an isosceles triangle is 91 cm. If one of the equal sides measures 28 cm, then what is the value of the other mom-equal side ?

Options:

56 cm

42 cm

14 cm

35 cm

Correct Answer:

35 cm

Explanation:

We know that,

Perimeter of an isosceles triangle = sum of all sides or 2 × equal side + unequal side

Perimeter of an isosceles triangle = 91cm

We have,

Base = \(\frac{5}{4}\) × equal side

Perimeter = 91 = 2 × equal side + \(\frac{5}{4}\) × equal side

= \(\frac{13}{4}\) × equal side = 91

= Equal side = 28 cm

= Base = \(\frac{5}{4}\) × 28 = 35 cm