Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form...
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Transcript of Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form...
![Page 1: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/1.jpg)
Geometry
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1215
96
10nWhat is the length of side ‘n’
in the triangle at the right?
Form ratios of corresponding sides:
Use any two ratios to form a proportion:15
10
12
n
12
n
15
10
9
6
Cross multiply to solve the proportion: 15n = 120
n = 8 units
![Page 3: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/3.jpg)
bhA2
1 Area of a triangle
Area of a square / rectanglewlA
Area of a parallelogramhbA
Area of a trapezoidhbbA )(2
121
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12 in.
25 in.
![Page 5: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/5.jpg)
Volume of rectangular prism = l × w × h
![Page 6: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/6.jpg)
Center
Diameter
Radius
Chord
Central Angle
Circumference
![Page 7: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/7.jpg)
Diameter = 2r
Radius = ½ d
![Page 8: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/8.jpg)
To find the area of a circle…
A = r²
5 cm
Find the area of the given circle. Use 3.14 for π
A = (3.14) (5)²
A = r²
A = (3.14) (25)
A ≈ 78.5 sq cm
![Page 9: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/9.jpg)
10 cm
Find the area of the given circle. Leave your answer in terms of
A = (π) (5)²
A = r²
A = (π) (25)
A = 25π sq cm
Given diameter = 10 cmRadius = ½ dRadius = 5 cm
![Page 10: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/10.jpg)
To find the circumference of a circle…
C = d
12 cm
Find the circumference of the given circle. Use 3.14 for π
C = (3.14) (24)
C = d
C = (3.14) (24)
C ≈ 75.36 cm
![Page 11: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/11.jpg)
10 cm
Find the circumference of the given circle. Leave the answer in terms of
C = (π) (10)
C = d
C = (π) (10)
C = 10π cm
![Page 12: Geometry. 12 15 9 6 10 n What is the length of side ‘n’ in the triangle at the right? Form ratios of corresponding sides: Use any two ratios to form a.](https://reader036.fdocuments.net/reader036/viewer/2022062516/56649e6f5503460f94b6c355/html5/thumbnails/12.jpg)
To find the area of the sector of a circle…
A = r² (central angle / 360)
4 cm
Find the area of the given sector. Use 3.14 for π
A = (3.14) (4)² (60 / 360)
A = r² (central angle / 360)
A = (3.14) (16) (1 / 6)
A ≈ 8.37 sq cm
60˚
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20 cm
Find the area of the given sector. Leave your answer in terms of π
A = (π) (10)² (90 / 360)
A = r² (central angle / 360)
A = (π) (100) (1 / 4)
A = 25π sq cm
90˚
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Diameter = C ÷ πCircumference = π d
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Coordinate Plane
x-axis
y-axis
origin
Ordered Pair
(-5, 4)
x-coordinate
y-coordinate
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To find the area of the
given polygon, count the number of
unit squares inside the polygon.
To find the area of the given
polygon, count the number of unit squares in the length and width. Then
use the formula to calculate the
area.
OR
66 sq units