Special Rights

Name at least two categories of special right triangles.
Find the exact length of the hypotenuse. Write your answer in simplest form.
Find the exact length of the legs. Write your answer in simplest form.
Find the exact lengths of the other two sides. Write your answers in simplest form.
Find the exact lengths of the other two sides. Write your answers in simplest form.
Real World
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Each half of the drawbridge is about 284 feet long.[br]If the main bridge is 50 feet above the water level, how much space is there for ships when the drawbridge angle is 30°? 45[math]^\circ[/math]? 60[math]^\circ[/math]?
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