Pythagorean Theorem and Special Right Triangles

Flashcard
•
Mathematics
•
10th Grade
•
Hard
+1
Standards-aligned
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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 are the side lengths of a 30-60-90 triangle in relation to the short leg?
Back
In a 30-60-90 triangle, the lengths of the sides are in the ratio 1 : √3 : 2. The short leg is opposite the 30-degree angle, the long leg is opposite the 60-degree angle, and the hypotenuse is twice the length of the short leg.
Tags
CCSS.HSG.CO.C.10
3.
FLASHCARD QUESTION
Front
How do you find the length of the hypotenuse in a 30-60-90 triangle if the short leg is known?
Back
To find the length of the hypotenuse in a 30-60-90 triangle, multiply the length of the short leg by 2.
Tags
CCSS.8.G.B.8
4.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
Tags
CCSS.4.G.A.2
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the lengths of the sides must satisfy the Pythagorean Theorem: a² + b² = c², where c is the length of the hypotenuse.
Tags
CCSS.8.G.B.8
6.
FLASHCARD QUESTION
Front
What is the long leg in a 30-60-90 triangle?
Back
The long leg in a 30-60-90 triangle is the side opposite the 60-degree angle, and its length is √3 times the length of the short leg.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
What type of triangle has angles measuring 90 degrees, 60 degrees, and 30 degrees?
Back
A 30-60-90 triangle.
Tags
CCSS.4.G.A.2
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