What is the Pythagorean Theorem?
Pythagorean Theorem Review

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Mathematics
•
10th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
In a right triangle, which side is the hypotenuse?
Back
The hypotenuse is the side opposite the right angle and is always the longest side of the triangle.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 units and the other side is 4 units, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25. Therefore, c = √25 = 5 units.
4.
FLASHCARD QUESTION
Front
True or False: The hypotenuse can be shorter than either of the other two sides in a right triangle.
Back
False. The hypotenuse is always the longest side in a right triangle.
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of a missing side in a right triangle?
Back
To find a missing side, rearrange the Pythagorean Theorem: a² = c² - b² or b² = c² - a².
6.
FLASHCARD QUESTION
Front
If the hypotenuse is 10 units and one side is 6 units, how do you find the other side?
Back
Use the formula: b² = c² - a². Here, b² = 10² - 6² = 100 - 36 = 64. Therefore, b = √64 = 8 units.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides 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.
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