What is the Converse of the Pythagorean Theorem?
Converse of Pythagorean Theorem

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
Back
If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
2.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?
Back
Yes, because 5² + 12² = 13² (25 + 144 = 169).
3.
FLASHCARD QUESTION
Front
What is the formula to check if a triangle is a right triangle using the Converse of the Pythagorean Theorem?
Back
c² = a² + b², where c is the longest side.
4.
FLASHCARD QUESTION
Front
If a triangle has sides 8, 15, and 17, which side is the hypotenuse?
Back
17, because it is the longest side.
5.
FLASHCARD QUESTION
Front
Do the lengths 7, 24, and 25 form a right triangle?
Back
Yes, because 7² + 24² = 25² (49 + 576 = 625).
6.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A triangle where one angle measures 90 degrees.
7.
FLASHCARD QUESTION
Front
If a triangle has sides 6, 8, and 10, is it a right triangle?
Back
Yes, because 6² + 8² = 10² (36 + 64 = 100).
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