What is the Pythagorean Theorem?
The Pythagorean Theorem

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•
Mathematics
•
7th 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
What are the legs of a right triangle?
Back
The legs of a right triangle are the two sides that form the right angle. They are usually referred to as 'a' and 'b' in the Pythagorean Theorem.
3.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle. It is denoted as 'c' in the Pythagorean Theorem.
4.
FLASHCARD QUESTION
Front
How do you find the length of a missing side in a right triangle?
Back
To find the length of a missing side in a right triangle, use the Pythagorean Theorem: c² = a² + b². Rearrange the formula to solve for the missing side.
5.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 6 and the other leg is 8, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 6² + 8² = 36 + 64 = 100. Therefore, c = √100 = 10.
6.
FLASHCARD QUESTION
Front
What is the distance formula derived from the Pythagorean Theorem?
Back
The distance formula, which calculates the distance between two points (x₁, y₁) and (x₂, y₂) in a coordinate plane, is derived from the Pythagorean Theorem: d = √((x₂ - x₁)² + (y₂ - y₁)²).
7.
FLASHCARD QUESTION
Front
In the context of the Pythagorean Theorem, what does 'solving for y' typically involve?
Back
'Solving for y' typically involves rearranging the Pythagorean Theorem to isolate y, which may represent one of the legs or the hypotenuse of a right triangle.
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