Pythagorean Theorem Converse

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•
Mathematics
•
8th 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: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
3.
FLASHCARD QUESTION
Front
What is the hypotenuse of a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
4.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?
Back
Yes, because 5² + 12² = 25 + 144 = 169 = 13².
5.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean Theorem?
Back
The converse of the Pythagorean Theorem states that if a triangle has side lengths a, b, and c, and a² + b² = c², then the triangle is a right triangle.
6.
FLASHCARD QUESTION
Front
How can you determine if a triangle is a right triangle using side lengths?
Back
To determine if a triangle is a right triangle, check if the square of the longest side equals the sum of the squares of the other two sides.
7.
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.
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