Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Quantitative Reasoning

Topic

Geometry

Question:

Let $ \triangle ABC \sim \triangle RPQ$ and $\frac{ar(\triangle ABC)}{ar(\triangle PQR)}=\frac{4}{9}$. If AB = 3cm, BC = 4cm, and AC = 5cm, then RP (In cm )is equal to :

Options:

6

5

4.5

12

Correct Answer:

4.5

Explanation:

\(\Delta \)ABC is similar to \(\Delta \)RPQ

\(\frac{AB}{RP}\) = \(\sqrt {4/9 }\)

RP = \(\frac{3}{2}\) x 3 = (As AB = 3)

RP = 4.5