Target Exam

CUET

Subject

General Aptitude Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

The area of a right-angled triangle with hypotenuse 17 cm and one side being 8 cm shall be:

Options:

$68\, cm^2$

$60\, cm^2$

$120\, cm^2$

$136\, cm^2$

Correct Answer:

$60\, cm^2$

Explanation:

The correct answer is Option (2) → $60\, cm^2$

Given a right-angled triangle:

  • Hypotenuse = 17 cm
  • One side = 8 cm

First, find the other side using Pythagoras theorem:

$\text{Other side} = \sqrt{17^2 - 8^2} = \sqrt{289 - 64} = \sqrt{225} = 15 \text{ cm}$

Now calculate the area:

$\text{Area} = \frac{1}{2} \times 8 \times 15 = 60 \text{ cm}^2$