What is the Pythagorean Theorem?
Pythagorean Theorem Test Review

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•
Mathematics
•
7th - 8th Grade
•
Hard
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14 questions
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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
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
5 cm (Using the Pythagorean Theorem: 3² + 4² = 9 + 16 = 25, so c = √25 = 5).
3.
FLASHCARD QUESTION
Front
What is the length of the missing side if c² = 100 and b = 60?
Back
80 (Using the Pythagorean Theorem: c² = a² + b², so 100 = a² + 60², thus a² = 100 - 3600 = 6400, so a = √6400 = 80).
4.
FLASHCARD QUESTION
Front
In a right triangle, if the hypotenuse is 13 cm and one side is 5 cm, what is the length of the other side?
Back
12 cm (Using the Pythagorean Theorem: 13² = 5² + b², so 169 = 25 + b², thus b² = 144, so b = √144 = 12).
5.
FLASHCARD QUESTION
Front
What are the lengths of the sides of a right triangle if they are 9, 12, and 15?
Back
They form a right triangle (9² + 12² = 15², 81 + 144 = 225).
6.
FLASHCARD QUESTION
Front
If a right triangle has legs of lengths 8 cm and 15 cm, what is the length of the hypotenuse?
Back
17 cm (Using the Pythagorean Theorem: 8² + 15² = 64 + 225 = 289, so c = √289 = 17).
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.
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