Pythagorean Theorem Review
Flashcard
•
Mathematics
•
10th Grade
•
Hard
+2
Standards-aligned
Wayground Content
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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.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What is the opposite of squaring a number?
Back
The opposite of squaring a number is taking the square root of that number.
Tags
CCSS.8.EE.A.2
3.
FLASHCARD QUESTION
Front
In a right triangle, if one side is 3 and the other side is 4, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4² = 9 + 16 = 25, so c = √25 = 5.
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
What is the formula to find the length of a missing side in a right triangle?
Back
The formula is a² + b² = c², where c is the hypotenuse and a and b are the other two sides.
Tags
CCSS.8.G.B.8
5.
FLASHCARD QUESTION
Front
If the lengths of the two legs of a right triangle are 5 and 12, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 5² + 12² = 25 + 144 = 169, so c = √169 = 13.
Tags
CCSS.8.G.B.7
6.
FLASHCARD QUESTION
Front
What is the first step in solving for c in the equation a² + b² = c²?
Back
The first step is to substitute the known values of a and b into the equation.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
If a right triangle has a hypotenuse of 10 and one leg of 6, how do you find the length of the other leg?
Back
Use the Pythagorean Theorem: c² = a² + b². Here, 10² = 6² + b², so 100 = 36 + b², thus b² = 64, and b = √64 = 8.
Tags
CCSS.8.G.B.7
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