A right triangle has angles , and the longer leg is 16. Find its perimeter:
Options
A
B
C
D
Answer & Analysis
Answer
D
Analysis
In a 30 - 60 - 90 triangle, the ratios of the sides are respectively.
Let's assume that the side opposite the angle is , the side opposite the angle (the longer leg) is , and the side opposite the angle (the hypotenuse) is
We are given that the longer leg
To find , we solve the equation for :
The hypotenuse , substituting , we get:
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