Mini-Investigation Sketch an equilateral triangle (three equal sides). Label each angle

Chapter 11, Problem 10

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Mini-Investigation Sketch an equilateral triangle (three equal sides). Label each angle 60. a. Draw a segment from one vertex to the midpoint of the opposite side. You should have two triangles with angles measuring 30, 60, and 90. b. Label one side of your equilateral triangle 2 units. Calculate the exact lengths of the other two sides of your 30-60-90 triangles. c. Make tables like these on your paper. First write each ratio using the lengths you found in 10b. Then use your calculator to find a decimal approximation for each exact value to the nearest ten thousandth. Finally, find each ratio using the trigonometric function keys on your calculator. Check that your decimal approximations and the values using the trigonometric function keys are the same.

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