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Squared & Square Root If you are given the area of a square, the length of 1 side is the square root...
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Transcript of Squared & Square Root If you are given the area of a square, the length of 1 side is the square root...
![Page 1: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/1.jpg)
Squared & Square Root
• If you are given the area of a square, the length of 1 side is the square root of that area!
• If you are given the length of one side, the area is that number squared!
17 units squared
???
√17
√8 ???
8 units sq.
√8 x √8 = 8
![Page 2: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/2.jpg)
Baseball Field:What is the distance
from 2nd Base to home plate?From Pedroia to Varitek
90 ft.
90 ft.
90 ft.
90 ft.
![Page 3: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/3.jpg)
Pythagorean Theorem (Theorem 65)
• In any right triangle, the sum of the squares of the legs equals the square of the hypotenuse.
leg2 + leg2 = hypotenuse2
or
a2+b2=c2
![Page 4: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/4.jpg)
Pythagorean Theorem
a
b
c hypotenuse
Right Triangle
altitude(leg)
base(leg)
![Page 5: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/5.jpg)
Pythagorean Theorem
Square
A = s2s
s
s
s
![Page 6: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/6.jpg)
a
b
cA = a2
A = c2
A = b2
Pythagorean TheoremGeometric
Demonstration
![Page 7: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/7.jpg)
a
b
c
Pythagorean TheoremGeometric
Demonstration
![Page 8: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/8.jpg)
a
b
c
Pythagorean TheoremGeometric
Demonstration
![Page 9: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/9.jpg)
a
b
c
Pythagorean TheoremGeometric
Demonstration
![Page 10: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/10.jpg)
a
b
c
Pythagorean TheoremGeometric
Demonstration
![Page 11: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/11.jpg)
Pythagorean Theorem
b
a2 + b2
=
c2
ac
![Page 12: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/12.jpg)
If a2 + b2 = c2
Solve for c:a=4b=3c=?
Then:c2 = a2+ b2
c2= 42 + 32
c2= 16 + 9 c2=25√c2= √ 25c= 5
![Page 13: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/13.jpg)
Summarizer:If a2 + b2 = c2
Solve for c when:a=6b=8c=?
Solve for c when:a=5b=12c=13
![Page 14: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/14.jpg)
• How would you find the value of b, if you knew the values of a and c?
• How would you find the value of a, if you knew the values of b and c?
• How would you find the value of c, if you knew the values of a and b?
a2 + b2 = c2
How would you find the length of a leg?
a = √c2- b2
b = √c2- a2
c = √a2+ b2
![Page 15: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/15.jpg)
Let’s Solve!What is the distance
from 2nd Base to home plate?(From Pedroia to Varitek)
90 ft.
90 ft.
90 ft.
90 ft.
![Page 16: Squared & Square Root If you are given the area of a square, the length of 1 side is the square root of that area! If you are given the length of one side,](https://reader036.fdocuments.in/reader036/viewer/2022062422/56649f1e5503460f94c3600f/html5/thumbnails/16.jpg)