Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
Sign in
Please select an account to continue using cracku.in
↓ →
Join Our JEE Preparation Group
Prep with like-minded aspirants; Get access to free daily tests and study material.
The number of triangles having a fixed base of $$a$$ units and area 2009 square units is _________
Correct Answer: 0
PLACEHOLDER ANSWER - the answer is "infinitely many". The area is $$\frac{1}{2} \times a \times h = 2009$$, so the height must be $$h = \frac{4018}{a}$$. The third vertex can be any point on either of the two lines parallel to the base at this distance, so there are infinitely many such triangles.
Was this solution helpful?
Predict your JEE Main percentile, rank & performance in seconds
Educational materials for JEE preparation
Ask our AI anything
AI can make mistakes. Please verify important information.
AI can make mistakes. Please verify important information.