mpm 1di unit 8: measurement relationships day 1...
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1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
MPM 1DI Unit 8: Measurement Relationships 2D
Day 1: Pythagorean Theorem Review
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
Exploring the Pythagorean Relationship
a + b = c2 22
The sum of the areas of squares on the two shorter sides of a right angled triangle equals the area of the square on the third side, the hypotenuse.
a
b
c
The history of the Pythagorean Theorem
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
Golf clip start at 1:00
90o
120 yd
70 yd
Example 1) Tiger Woods wants to play this par 3 hole by making it in one hit. How can he do that?
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
6
8 c
5
8
y
a2 + b2 = c2
52 + y2 = 82
25 + y2 = 64
y2 = 39
y = 6.2
Example 2: The Pythagorean Theorem can be used to find the length of the third side of a right triangle when the lengths of the other two sides are known.
y2 = 64 25
a2 + b2 = c2
82 + 62 = c264 + 36 = c2
100 = c2
10 = c
a) b)
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
90 feetHome base
2nd base
Example 3: On a baseball diamond the distance from one base to the next is 90 feet. How far is it from home base to second base?
Example 4: Use the following diagram to find the area of this Aframe cabin that requires siding.
30feet
40 feet
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
The height of the pyramid is 138m, the base is a square with side lengths of 230m. find the slant height.
Example 5
1DI U8 D1 Review of Pythagorean Theorem.notebook
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May 17, 2018
Today's Practice QuestionsPg. 423 # 1ac, 2c, 3, 5 – 8