Pythagorean Theorem/Special Right Triangles

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b). Formula: a² + b² = c².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What are the side lengths of a 30°-60°-90° triangle?
Back
In a 30°-60°-90° triangle, the lengths of the sides are in the ratio 1 : √3 : 2. The side opposite the 30° angle is the shortest (1), the side opposite the 60° angle is √3, and the hypotenuse is 2.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
What are the side lengths of a 45°-45°-90° triangle?
Back
In a 45°-45°-90° triangle, the lengths of the legs are equal, and the hypotenuse is √2 times the length of each leg. If each leg is x, then the hypotenuse is x√2.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
How do you find the length of a missing side in a right triangle?
Back
Use the Pythagorean Theorem: a² + b² = c². Rearrange the formula to solve for the missing side.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
What type of angle do the legs of a right triangle form?
Back
The legs of a right triangle form a right angle (90°).
6.
FLASHCARD QUESTION
Front
If one leg of a 30°-60°-90° triangle is 5, what is the length of the hypotenuse?
Back
The hypotenuse is 10, since it is twice the length of the shorter leg (5).
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
If the hypotenuse of a 45°-45°-90° triangle is 10, what is the length of each leg?
Back
Each leg is 10/√2 or 5√2.
Tags
CCSS.8.G.B.8
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