Geometry Worksheet
Special Right Triangles
45°-45°-90° & 30°-60°-90°
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This worksheet contains problems on special right triangles. Students must
use the properties
of 45°-45°-90° and 30°-60°-90° triangles to missing lengths of sides. |
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Sample Problems from Worksheet (diagrams not shown) |
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Special Right Triangles – 45˚-45˚-90˚ and 30˚-60˚-90˚ Triangles
1) In a 45°-45°-90° triangle, the hypotenuse is _______ times as long as a leg.
2) In a 30°-60°-90° triangle, the hypotenuse is _____________ as long as the shorter leg, and the longer leg is ______
times as long as the shorter leg.
3-5) Given the length of the legs, find the length of the hypotenuse of each 45˚-45˚-90˚ triangle.
6-8) Given the length of the hypotenuse, find the length of the legs of each 45˚-45˚-90˚ triangle.
9-11) Using the sides given, find the other two sides in each 30˚-60˚-90˚ triangle.
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