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Priya says, "I know everything about a right triangle with a 30 degree angle and a hypotenuse with length 1 cm. Here, look." The other angle is 60 degrees. The leg adjacent to the 30 degree angle is 0.866 cm long. The side opposite the 30 degree angle is 0.5 cm long. Han asks, "What would happen if a right triangle with a 30 degree angle has a hypotenuse that is 2 cm instead?" Help them find the missing angles and side lengths in the new triangle. Explain or show your reasoning. (not using sine or cosine symbols, just geometry symbols)

Priya says, "I know everything about a right triangle with a 30 degree angle and a hypotenuse with length 1 cm. Here, look." The other angle is 60 degrees. The leg adjacent to the 30 degree angle is 0.866 cm long. The side opposite the 30 degree angle is 0.5 cm long. Han asks, "What would happen if a right triangle with a 30 degree angle has a hypotenuse that is 2 cm instead?" Help them find the missing angles and side lengths in the new triangle. Explain or show your reasoning. (not using sine or cosine symbols, just geometry symbols)

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter3: Triangles
Section3.5: Inequalities In A Triangles
Problem 39E
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Priya says, "I know everything about a right triangle with a 30 degree angle and a hypotenuse with length 1 cm. Here, look."

  • The other angle is 60 degrees.
  • The leg adjacent to the 30 degree angle is 0.866 cm long.
  • The side opposite the 30 degree angle is 0.5 cm long.

Han asks, "What would happen if a right triangle with a 30 degree angle has a hypotenuse that is 2 cm instead?"

Help them find the missing angles and side lengths in the new triangle. Explain or show your reasoning.

(not using sine or cosine symbols, just geometry symbols)

 

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