
Pythagorean Theorem
Presentation
•
Mathematics
•
•
Practice Problem
•
Hard
Bright Amankonah
FREE Resource
7 Slides • 21 Questions
1
5.7.5 Solve Problems using the Pythagorean Theorem
2
Multiple Choice
What is the length of the bottom of the TV?
12
25
38
52
3
Multiple Choice
Abby wants to know if she has a square corner. In order to check we need to make sure the lengths given form a right triangle.
Hint: Answer has to be EXACTLY the SAME!
Yes, she has a square corner
No, she does not have a square corner
4
Multiple Choice
You are going to make a picture frame. What would the measure of the diagonal of the frame have to be to ensure the corners are square?
6.4
6.875
8.125
9.625
5
Multiple Choice
What lengths represent a right triangle?
6,8,10
1,2,3
2,4,6
6
Multiple Choice
What is the length of x?
6
12
18
24
7
Mr. K wants to store a 12 foot long pipe in a tool closet that is 6 feet wide, 6 feet long, and 8 feet high. Will if fit?
8
Multiple Choice
Find the length of the diagonal.
29.1
9.5
6.8
5.4
9
Multiple Choice
What is the length of the walkway, w, to the nearest foot?
20
30
34
46
10
Multiple Choice
What is the length of the walkway, w, to the nearest foot?
20
30
34
46
11
12
Multiple Choice
Is this a right triangle?
Yes
No
13
Multiple Choice
Is this a right triangle?
Yes
No
14
Multiple Choice
Is this a right triangle?
Yes
No
15
Multiple Choice
Is a triangle with side lengths of 7, 4, and 4 a right triangle?
Yes
No
16
Multiple Choice
Find the missing side.
18
16
17
19
17
Hypotenuse
The longest side of a right triangle
The side that is opposite (across) from the 90o angle.
When using the Pythagorean Theorem, the Hypotenuse is represented by the variable, c.
18
The Pythagorean Theorem
19
Steps:
Ex 1:
How to find a missing side:
20
Steps:
Ex 2:
How to find a missing side:
21
Multiple Choice
25 cm
42 cm
52 cm
48 cm
22
Multiple Choice
23
Multiple Choice
24
Open Ended
Is triangle ADC similar to triangle CDB? Explain or show your reasoning.
25
Open Ended
Write 3 similarity statements. showing the three triangles are similar.
26
Open Ended
Determine the scale factor for each pair of triangles.
27
Open Ended
Determine the lengths of sides HG, GF, and HF.
28
Open Ended
The diagram shows 3 similar triangles.
Find the value of AD.
5.7.5 Solve Problems using the Pythagorean Theorem
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