# Question of the Day

## Can you answer today's question?

Next Tests:
12/5 , 1/23

Nov
27
2015
2,106 responses
Number Answered 1,150 956
54% correct

Mathematics > Standard Multiple Choice

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

In the figure above,  is the center of the circle and  is equilateral. If the sides of  are of length , what is the length of ?

Answer Choices

#### Hint

You can find the measure of every angle in  and . Then you can see that  is a special triangle.

# Question of the Day

## Can you answer today's question?

Next Tests:
12/5 , 1/23

Nov
27
2015
2,106 responses
Number Answered 1,150 956
54% correct

Mathematics > Standard Multiple Choice

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

In the figure above,  is the center of the circle and  is equilateral. If the sides of  are of length , what is the length of ?

Answer Choices

#### Answer

Choice (C) is correct. Since  is equilateral, each of its angles has measure
. It follows that  has measure . Since  and  are radii of the same circle, they are of equal length, and so  is isosceles. Hence  and  each have measure . Thus  has measure , and so  is a  right triangle. Since , the side opposite the angle in , is of length , it follows that , the side opposite the angle, is of length .