Legs with the Pythagorean Theorem
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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: c² = a² + b².
Tags
CCSS.8.G.B.8
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works on right triangles.
Tags
CCSS.8.G.B.8
3.
FLASHCARD QUESTION
Front
If one leg of a right triangle is 3m and the other leg is 4m, what is the length of the hypotenuse?
Back
5m (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25; √25 = 5).
Tags
CCSS.8.G.B.7
4.
FLASHCARD QUESTION
Front
How do you find the length of a missing leg in a right triangle?
Back
To find the length of a missing leg, rearrange the Pythagorean Theorem: a² = c² - b², where c is the hypotenuse and b is the known leg.
Tags
CCSS.8.G.B.7
5.
FLASHCARD QUESTION
Front
What is the hypotenuse in a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle.
6.
FLASHCARD QUESTION
Front
If the hypotenuse is 10m and one leg is 6m, what is the length of the other leg?
Back
8m (Using the Pythagorean Theorem: 10² - 6² = 100 - 36 = 64; √64 = 8).
Tags
CCSS.8.G.B.7
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.
Tags
CCSS.8.G.B.8
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