the right distance! (pyth thm vs. distance formula)
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The Right Distance! (Pyth Thm vs. Distance Formula). Unit 4.24. Find the Distance between the two points on the graph using the Pythagorean Theorem. Step 1) Draw a right triangle where the two points form the hypotenuse . Step 2) Count the length of the legs . - PowerPoint PPT PresentationTRANSCRIPT
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The Right Distance!(Pyth Thm vs. Distance Formula)Unit 4.24
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
Step 1) Draw a right triangle where the two points form the hypotenuse.
Step 2) Count the length of the legs.
Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse.
4
6
42 + 62
c
= c2
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
Step 1) Draw a right triangle where the two points form the hypotenuse.
Step 2) Count the length of the legs.
Step 3) Use the Pythagorean Theorem to find the length of the hypotenuse.
4
6
42 + 62
c
= c2
16 + 36 = c2
52 = c2
![Page 4: The Right Distance! (Pyth Thm vs. Distance Formula)](https://reader036.vdocument.in/reader036/viewer/2022062301/5681349e550346895d9b9583/html5/thumbnails/4.jpg)
Find the Distance between the two points on the graph using the Pythagorean Theorem.
8
2
82 + 22
c
= c2
64 + 4 = c2
68 = c2
1)
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
5
7
72 + 52
c
= c2
49 + 25 = c2
74 = c2
2)
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
6
3
32 + 62
c
= c2
3)
6.7
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
4)
10.3
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Find the Distance between the two points on the graph using the Pythagorean Theorem.
5)
13.6
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Pythagorean Thm. vs. The Distance Formula
Right Triangle Two Coordinates
Length of two sides of triangle
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Picture or Graph (optional)
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(4,7)
(8,1)
√42 + (-6)2 = c
Pythagorean Thm. vs. The Distance Formula
√16 + 36 = c
√52 = c
√(8 – 4)2 + (1 – 7)2 = c
4
6
√42 + 62 = c
√a2 + b2 = c
√16 + 36 = c
√52 = c
Can’t go further!
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Find the Distance between the two points using the Distance Formula.
6)
(-3,8)
(1,-5)
√42 + (-13)2 = c
√16 + 169 = c
√185 = c
√(1 – -3)2 + (-5 – 8)2 = c
4
13
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7)
(-6,0)
(4,5)
11.2
Find the Distance between the two points using the Distance Formula.
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8)
(3,-6)
(0,5)
11.4
Find the Distance between the two points using the Distance Formula.
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9)
(10,4)
(-5,-2)
16.2
Find the Distance between the two points using the Distance Formula.
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Homework Time! The Right Distance! WS