Is the triangle right-angled? Statement I: Its sides are $3$, $4$, and $5$. Statement II: Its perimeter is $12$. Choose the standard data-sufficiency option.

Question

Is the triangle right-angled?

Statement I: Its sides are $3$, $4$, and $5$.

Statement II: Its perimeter is $12$.

Choose the standard data-sufficiency option.

Option A — Correct answer

A

Correct choice.

Option B

B

Option C

C

Option D

D

Option E

E

Explanation

Statement I alone is sufficient because $3^2+4^2=5^2$. Statement II alone is not sufficient because many triangles can have perimeter $12$. So the answer is A.

Chapter Mock 16: Data Sufficiency