The hypotenuse of a right-triangle with 30° and 60° interior angles are 6 cm long. a) Write an exact expression for the base and the height of the triangle using the primary trigonometric ratios. Include a diagram to show your work. b) Use your expressions to determine the exact area of the triangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter11: Introduction To Trigonometry
Section11.3: The Tangent Ratio And Other Ratios
Problem 7E: In Exercises 5 to 10, find the value or expression for each of the six trigonometric ratios of angle...
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1. The hypotenuse of a right-triangle with 30° and 60° interior angles are 6 cm long.
a) Write an exact expression for the base and the height of the triangle using the
primary trigonometric ratios. Include a diagram to show your work.
b) Use your expressions to determine the exact area of the triangle.
Transcribed Image Text:1. The hypotenuse of a right-triangle with 30° and 60° interior angles are 6 cm long. a) Write an exact expression for the base and the height of the triangle using the primary trigonometric ratios. Include a diagram to show your work. b) Use your expressions to determine the exact area of the triangle.
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