Question of the Day

Can you answer today's question?

Register Next Tests:
12/5 , 1/23
Question of the Day Statistics
Number Answered
Correct 3,719
Incorrect 3,046
6,765 responses
54% correct
See Last Thirty Questions:

Mathematics > Standard Multiple Choice

Read the following SAT test question and then click on a button to select your answer. 


In the figure above, O is the center of the circle and triangle A B O is equilateral. If the sides of triangle A B O are of length 6, what is the length of line B C?

Answer Choices

Right! (Applause.)


Choice (C) is correct. Since triangle A B O is equilateral, each of its angles has measure 
60 degrees. It follows that angle B O C has measure 120 degrees. Since line O B and line O C are radii of the same circle, they are of equal length, and so triangle O C B is isosceles. Hence angle O B C and angle O C B each have measure 30 degrees. Thus angle A B C has measure 60 degrees + 30 degrees = 90 degrees, and so triangle A B C is a 30 degree - 60 degree - 90 degree right triangle. Since line A B, the side opposite the 30 degrees angle in triangle A B C, is of length 6, it follows that line B C, the side opposite the 60 degrees angle, is of length 6 times square root 3.

Log in, track your progress and review questions.
Want to brush up on your skills? Just visit our Practice Questions area.

The Official Study Guide for All SAT Subject Tests™: 
Second Edition

Subject Test Study Guide

Get ready for test day with a brand new edition of our best-selling SAT Subject Test Study Guide! Brought to you by the test-maker, this is the ONLY study guide with actual, previously administered tests for all 20 SAT Subjects Tests™ to provide you with the real test-taking experience.

See Inside