Special Right Triangles
Flashcard
•
Mathematics
•
10th Grade
•
Practice Problem
•
Hard
+3
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a 45°-45°-90° triangle?
Back
A special right triangle where the angles are 45°, 45°, and 90°. The sides opposite the 45° angles are equal, and the hypotenuse is √2 times the length of each leg.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is a 30°-60°-90° triangle?
Back
A special right triangle where the angles are 30°, 60°, and 90°. The side opposite the 30° angle is half the hypotenuse, and the side opposite the 60° angle is √3 times the length of the side opposite the 30° angle.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
Find the length of the hypotenuse in a 45°-45°-90° triangle with legs of length 10.
Back
10√2
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
Find the length of the longer leg in a 30°-60°-90° triangle if the shorter leg is 4.
Back
4√3
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30°-60°-90° triangle?
Back
If the shorter leg is 'x', then the longer leg is 'x√3' and the hypotenuse is '2x'.
Tags
CCSS.HSG.SRT.C.8
6.
FLASHCARD QUESTION
Front
If one leg of a 45°-45°-90° triangle is 5, what is the length of the hypotenuse?
Back
5√2
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the Pythagorean theorem?
Back
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides (a² + b² = c²).
Tags
CCSS.8.G.B.8
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