Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

In a ΔBAC = 90° and AD is perpendicular to BC where D is a point on BC. If BD = 4 cm and CD = 5 cm, then the length of AD is equal to :

Options:

6 cm

4.5 cm

$2\sqrt{5}$ cm

$5\sqrt{2}$ cm

Correct Answer:

$2\sqrt{5}$ cm

Explanation:

In a ΔBAC = 90°

BD = 4 cm

CD = 5 cm

The value of AD = \(\sqrt {BD × CD}\)  

= \(\sqrt {4 × 5}\)  = $2\sqrt{5}$ cm