7.1-7.3 Review

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+6
Standards-aligned
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1.
FLASHCARD QUESTION
Front
What is the formula for the Pythagorean theorem?
Back
a² + b² = c², where c is the hypotenuse and a and b are the other two sides.
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
In a 30-60-90 triangle, what are the ratios of the lengths of the sides?
Back
1 : √3 : 2, where 1 is the length of the shorter leg, √3 is the length of the longer leg, and 2 is the length of the hypotenuse.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
How do you simplify a radical expression?
Back
To simplify a radical, factor the number under the radical into its prime factors and look for pairs of factors.
4.
FLASHCARD QUESTION
Front
What is the length of the hypotenuse in a right triangle if the legs are 6 and 8?
Back
10, calculated using the Pythagorean theorem: √(6² + 8²) = √(36 + 64) = √100 = 10.
Tags
CCSS.8.G.B.7
5.
FLASHCARD QUESTION
Front
What is the definition of a radical?
Back
A radical is an expression that includes a root, such as a square root, cube root, etc.
Tags
CCSS.8.NS.A.1
6.
FLASHCARD QUESTION
Front
How do you find the length of a missing side in a right triangle?
Back
Use the Pythagorean theorem: a² + b² = c², solving for the missing side.
Tags
CCSS.8.G.B.7
7.
FLASHCARD QUESTION
Front
What is the long leg in a 30-60-90 triangle?
Back
The long leg is the side opposite the 60-degree angle, which is √3 times the length of the shorter leg.
Tags
CCSS.HSG.CO.C.10
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