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6/1
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5
2012
175,586
responses
| Number Answered | |
|---|---|
| Correct | 127,495 |
| Incorrect | 48,091 |
72%
correct
Mathematics > Standard Multiple Choice
Read the following SAT test question and then click on a button to select your answer.
In the triangles above, 
Hint
The triangles in this problem are special triangles. The first is an isosceles right triangle, which has two angles of 
degrees. The second is an equilateral triangle, each of whose angles measures 
degrees. Once you know the values of 
and 
, you can find the value of 
.
, it is necessary to determine the values of 
and 
. Since the sum of the measures of the angles of any triangle is 
degrees, and a right angle has measure 
degrees, the value of 
can be found by solving the equation 
. This yields 
. The value of 
can be found by solving the equation 
. This yields 
. Finally, the values for 
and 
are substituted into the expression 
to obtain 
.