Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Mensuration: 2D

Question:

The length of hypotenuse of a right angle isosceles triangle is 10 cm. Its area will be:

Options:

25\(\sqrt {2}\) sq. cm

50 sq. cm

25 sq. cm

100 sq. cm

Correct Answer:

25 sq. cm

Explanation:

In Δ ABC:

⇒ AB2 + BC2 = AC2

⇒ x2 + x2 = 100

⇒ 2x2 = 100

⇒ x2 = 50

Area = \(\frac{1}{2}\) × x2 = \(\frac{1}{2}\) × 50 = 25 sq.cm