Day 8 HW Converse Pythagorean Theorem

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Converse Pythagorean Theorem?
Back
If a triangle has sides of lengths a, b, and c, and a^2 + b^2 = c^2, then the triangle is a right triangle.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A triangle that has one angle measuring 90 degrees.
Tags
CCSS.4.G.A.2
3.
FLASHCARD QUESTION
Front
What are the conditions for three lengths to form a triangle?
Back
The sum of the lengths of any two sides must be greater than the length of the third side.
4.
FLASHCARD QUESTION
Front
Can the lengths 7, 10, and 8 form a triangle?
Back
Yes, because 7 + 8 > 10, 7 + 10 > 8, and 8 + 10 > 7.
Tags
CCSS.7.G.A.2
5.
FLASHCARD QUESTION
Front
What is the formula to check if a triangle is a right triangle using the Pythagorean theorem?
Back
c^2 = a^2 + b^2, where c is the longest side.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 5, 12, and 13, is it a right triangle?
Back
Yes, because 5^2 + 12^2 = 13^2 (25 + 144 = 169).
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What does it mean if a triangle is not a right triangle?
Back
It means that the square of the longest side is not equal to the sum of the squares of the other two sides.
Tags
CCSS.8.G.B.8
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