Pythagorean Theorem (& Simplify Radicals)

Flashcard
•
Mathematics
•
9th - 10th Grade
•
Hard
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15 questions
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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 type of triangle can the Pythagorean Theorem be used with?
Back
The Pythagorean Theorem can only be used with right triangles.
3.
FLASHCARD QUESTION
Front
Solve for x: x² + 16 = 64. Simplify your radical answer completely.
Back
x = 4√3.
4.
FLASHCARD QUESTION
Front
What is a radical expression?
Back
A radical expression is an expression that includes a root, such as a square root, cube root, etc.
5.
FLASHCARD QUESTION
Front
How do you simplify √(a*b)?
Back
√(a*b) = √a * √b.
6.
FLASHCARD QUESTION
Front
Solve for x: 2x² = 32. Simplify your radical answer completely.
Back
x = 4.
7.
FLASHCARD QUESTION
Front
What is the approximate value of √115?
Back
√115 ≈ 10.7.
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