Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The perimeter of a right triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?

Options:

60

96

90

120

Correct Answer:

120

Explanation:

We know a triplet = 10, 24, 26

And the perimeter of the triangle = 60 and we can see that the sum of the sides = 10 + 24 + 26 = 60

So,

Base length= 10cm or 24cm

And perpendicular length = 24cm or 10cm

Now area of triangle = \(\frac{1}{2}\) × 10 × 24 = 120 cm2