Special Right Triangles Warm Up
Flashcard
•
Mathematics
•
8th - 11th Grade
•
Hard
+2
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What are the two special right triangles commonly studied in geometry?
Back
The two special right triangles are the 45-45-90 triangle and the 30-60-90 triangle.
Tags
CCSS.HSG.CO.C.10
2.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 45-45-90 triangle?
Back
In a 45-45-90 triangle, the lengths of the legs are equal, and the length of the hypotenuse is √2 times the length of a leg.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a 30-60-90 triangle?
Back
In a 30-60-90 triangle, the length of the side opposite the 30-degree angle is half the length of the hypotenuse, and the length of the side opposite the 60-degree angle is √3 times the length of the side opposite the 30-degree angle.
Tags
CCSS.HSG.CO.C.10
4.
FLASHCARD QUESTION
Front
If the legs of a 45-45-90 triangle are each 8 units long, what is the length of the hypotenuse?
Back
The length of the hypotenuse is 8√2 units.
Tags
CCSS.8.G.B.7
5.
FLASHCARD QUESTION
Front
If the hypotenuse of a 30-60-90 triangle is 10 units, what is the length of the side opposite the 30-degree angle?
Back
The length of the side opposite the 30-degree angle is 5 units.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the formula for finding the length of the hypotenuse in a 45-45-90 triangle?
Back
The formula is hypotenuse = leg × √2.
Tags
CCSS.8.G.B.8
7.
FLASHCARD QUESTION
Front
What is the formula for finding the length of the longer leg in a 30-60-90 triangle?
Back
The formula is longer leg = shorter leg × √3.
Tags
CCSS.8.G.B.8
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