What is the Pythagorean Theorem?
Pythagorean Theorem (Finding the Hypotenuse)

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Mathematics
•
8th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
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.
2.
FLASHCARD QUESTION
Front
What type of triangle does the Pythagorean Theorem apply to?
Back
The Pythagorean Theorem ONLY works on right triangles.
3.
FLASHCARD QUESTION
Front
If one side of a right triangle is 3 cm and the other side is 4 cm, what is the length of the hypotenuse?
Back
Using the Pythagorean Theorem: c² = 3² + 4²; c² = 9 + 16; c² = 25; c = 5 cm.
4.
FLASHCARD QUESTION
Front
What is the formula to find the hypotenuse in a right triangle?
Back
The formula to find the hypotenuse (c) is c = √(a² + b²).
5.
FLASHCARD QUESTION
Front
If the lengths of the two legs of a right triangle are 5 cm and 12 cm, what is the length of the hypotenuse?
Back
c = √(5² + 12²) = √(25 + 144) = √169 = 13 cm.
6.
FLASHCARD QUESTION
Front
What is a right triangle?
Back
A right triangle is a triangle that has one angle measuring 90 degrees.
7.
FLASHCARD QUESTION
Front
In a right triangle, if one leg is 8 cm and the hypotenuse is 10 cm, what is the length of the other leg?
Back
Using the Pythagorean Theorem: a² = c² - b²; a² = 10² - 8²; a² = 100 - 64; a² = 36; a = 6 cm.
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