Pythagorean Theorem

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•
Mathematics
•
10th Grade
•
Hard
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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). It can be expressed as: c² = a² + b².
2.
FLASHCARD QUESTION
Front
In a right triangle, which side is the longest?
Back
The hypotenuse is the longest side in a right triangle.
3.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 10, 12, and 15, how would you classify it?
Back
The triangle is classified as obtuse because 15² > 10² + 12².
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6, 9, and 15, how would you classify it?
Back
The triangle is classified as acute because 15² < 6² + 9².
5.
FLASHCARD QUESTION
Front
What is the formula to find the length of the hypotenuse in a right triangle?
Back
The formula to find the length of the hypotenuse (c) is c = √(a² + b²).
6.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the sum of the squares of the two shorter sides equals the square of the longest side (hypotenuse).
7.
FLASHCARD QUESTION
Front
If one side of a right triangle is 20 in and the other is 48 in, what is the length of the hypotenuse?
Back
The hypotenuse is 52 in, calculated using the Pythagorean Theorem: c = √(20² + 48²) = √(400 + 2304) = √2704 = 52.
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