Pythagorean Theorem Flashcards
What is the Pythagorean Theorem formula?
a² + b² = c²
In the Pythagorean Theorem, what does ‘c’ represent?
‘c’ represents the length of the hypotenuse.
True or False: The Pythagorean Theorem applies only to right triangles.
True
Fill in the blank: In a right triangle, the two shorter sides are called ____.
legs
If one leg of a right triangle is 3 and the other leg is 4, what is the length of the hypotenuse?
5
Multiple Choice: Which of the following is an example of a Pythagorean triple? A) (5, 12, 13) B) (1, 1, 2) C) (2, 2, 3)
A) (5, 12, 13)
What is the relationship between the sides of a right triangle according to the Pythagorean Theorem?
The square of the length of the hypotenuse equals the sum of the squares of the lengths of the other two sides.
True or False: The Pythagorean Theorem can be used to determine if a triangle is a right triangle.
True
If a triangle has sides of length 6 and 8, what is the length of the hypotenuse?
10
Fill in the blank: The legs of a right triangle are perpendicular to each other and form a ____.
right angle
What is the first step in using the Pythagorean Theorem to solve for the hypotenuse?
Square the lengths of both legs.
If a right triangle has a hypotenuse of 10 and one leg of 6, what is the length of the other leg?
8
Multiple Choice: Which side is the hypotenuse? A) The longest side B) The shortest side C) The side opposite the right angle
C) The side opposite the right angle
True or False: A 5-12-13 triangle is a right triangle.
True
What do you need to determine if a triangle is a right triangle using the Pythagorean Theorem?
The lengths of all three sides.
Fill in the blank: The formula for the Pythagorean Theorem can be rearranged to solve for ‘a’ as ____.
a = √(c² - b²)
If a right triangle has legs of length 9 and 12, what is the length of the hypotenuse?
15
Multiple Choice: Which of the following statements is true? A) The hypotenuse is always shorter than the legs. B) The hypotenuse is the longest side. C) The legs are always equal.
B) The hypotenuse is the longest side.
What is the geometric shape associated with the Pythagorean Theorem?
Right triangle
True or False: The Pythagorean Theorem can be applied to any triangle.
False
If a right triangle has a hypotenuse of 13 and one leg of 5, what is the other leg?
12
Fill in the blank: The sides of a right triangle are often referred to as ____.
legs and hypotenuse
What is the Pythagorean Theorem used for?
To find the length of a side in a right triangle.
Multiple Choice: Which equation represents the Pythagorean Theorem? A) a + b = c B) a² + b² = c² C) a - b = c
B) a² + b² = c²
True or False: The length of each leg must be greater than zero.
True
