4.2: Pythagorean Theorem & Converse
Flashcard
•
Mathematics
•
8th - 9th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the Pythagorean Theorem?
Back
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). Formula: a² + b² = c².
2.
FLASHCARD QUESTION
Front
What are the legs of a right triangle?
Back
The legs of a right triangle are the two sides that form the right angle, typically referred to as side a and side b.
3.
FLASHCARD QUESTION
Front
What is the hypotenuse of a right triangle?
Back
The hypotenuse is the longest side of a right triangle, opposite the right angle, and is denoted as side c.
4.
FLASHCARD QUESTION
Front
If a = 3 and b = 4, what is c?
Back
c = 5 (using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).
5.
FLASHCARD QUESTION
Front
What is the converse of the Pythagorean Theorem?
Back
If in a triangle, the square of the length of one side is equal to the sum of the squares of the lengths of the other two sides, then the triangle is a right triangle.
6.
FLASHCARD QUESTION
Front
How can you determine if a triangle is a right triangle using side lengths?
Back
Use the Pythagorean Theorem: If a² + b² = c² holds true for the side lengths, then the triangle is a right triangle.
7.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a right triangle?
Back
In a right triangle, the hypotenuse is always longer than either leg.
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