What is the simplified expression for the perimeter of the polygon?
1 answer:
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Answer:
2√3
Step-by-step explanation:
You recognize this as a 30°-60°-90° triangle, so you know the hypotenuse (R) is twice the length of the shortest side (√3).
The magnitude of R is 2√3.
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In case you haven't memorized the ratios for a 30°-60°-90° triangle, you can use trigonometry and the fact that ...
Sin = Opposite/Hypotenuse
sin(30°) = √3/R
R = √3/sin(30°) = √3/(1/2) = 2√3
Of course, doing this on your calculator will give a numerical answer, which you may not want.
Answer:
Step-by-step explanation:
Consider right triangle ABC with right angle C.
In this triangle,
- BA = 9.8 in
- CB = 6.3 in
- CA = 7.5 in
Write trigonometric functions:
Hence,
