Pythagorean Theorem
Presentation
•
Mathematics
•
8th Grade
•
Practice Problem
•
Medium
Standards-aligned
Brian Cox
Used 17+ times
FREE Resource
8 Slides • 15 Questions
1
2
Hypotenuse
The hypotenuse of a right triangle is the largest side of the right triangle, and is always located across from the right angle.
The letter c is used to represent the hypotenuse.
3
Legs
The legs of a right triangle are the two shorter sides of the right triangle, and together form the right angle.
The letters a and b are used to represent the legs of the right triangle.
4
5
In the diagram to the right, the right triangle has side lengths of 3, 4 and 5.
The sum of the squares of the two legs is equal to the square of the hypotenuse.
Pythagorean Theorem
6
The three sides of any right triangle will make the pythagorean true.
Therefore we can use the pythagorean theorem to determine whether 3 side lengths will make a right triangle.
Pythagorean Theorem
7
Multiple Choice
Determine which set of side lengths below form a right triangle.
6, 9, 12
10, 24, 26
8
Multiple Choice
Determine which set of side lengths below form a right triangle.
20, 21, 29
8, 13, 16
9
Multiple Choice
Determine which set of side lengths below form a right triangle.
2.4, 4.5, 5.1
3.2, 5.1, 7.3
10
Multiple Choice
Determine which set of side lengths below form a right triangle.
5.2, 8.4, 10.5
4.8, 5.5, 7.3
11
The Pythagorean Theorem can be used to determine the length of a missing side of a right triangle.
Finding the Hypotenuse
12
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
13
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
14
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
15
The Pythagorean Theorem can be used to determine the length of a missing side of a right triangle.
Finding a Leg
16
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
17
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
18
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle. Round your answer to the nearest tenth if necessary.
19
Multiple Select
Which set(s) of sides will form a right triangle? Choose all that apply.
3,4,5
10, 12, 14
15, 20, 25
8, 15, 17
20
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle shown. Round your answer to the nearest tenth if necessary.
21
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle shown. Round your answer to the nearest tenth if necessary.
22
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle shown. Round your answer to the nearest tenth if necessary.
23
Math Response
Use the Pythagorean Theorem to determine the length of the missing side in the right triangle shown. Round your answer to the nearest tenth if necessary.
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