Greatest Degree Measure

Welcome! You are encouraged to register with the site and login (for free). When you register, you support the site and your question history is saved.

In ∆ABC, if , , and , which of the three angles of ∆ABC has the greatest degree measure?

(1)

(2)

Review: Greatest Degree Measure




Explanation

This question draws on a geometrical fact included in the math review--namely, that larger angles in a triangle correspond to larger sides of the triangle across from those angles. So, if we are able to figure out which side of the triangle is longest, we'll be able to answer that question. Knowing the values of a and b would definitely be sufficient to do that, although we may be able to figure out which is largest with less information. Turning to the data statements and looking at Statement (1) alone, in fact we can. This statement says that b is greater than a. We can conclude that BC is the longest side, so angle BAC will have the greatest degree measure. Statement (1) is sufficient. Statement (2) gives us neither complete nor comparative information, so it's insufficient.

The correct answer is (A).


If you believe you have found an error in this question or explanation, please contact us and include the question title or URL in your message.