*You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2...
Transcript of *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2...
![Page 1: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/1.jpg)
*You will be able to find the lengths of sides of special
right triangles
45-45-90
And
30-60-90
![Page 2: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/2.jpg)
904545
906030
2:1:1
2:3:1
Leg:Leg:Hypotenuse
Short Leg:Long Leg:Hypotenuse
2:: xxx
xxx 2:3:
![Page 3: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/3.jpg)
In a 45-45-90 triangle…
We will use a reference triangle to set up a proportion then solve.
![Page 4: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/4.jpg)
45-45-90 Right Triangle
1
1This is our reference triangle for the 45-45-90.
2
45
45
![Page 5: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/5.jpg)
45-45-90 Right Triangle
x
x
2x
45
45
![Page 6: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/6.jpg)
3
3
x
1
1
3
1
x
EX: 1 Solve for x Let’s set up a proportion by
using our reference triangle.
2
2
3 2x
![Page 7: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/7.jpg)
5
5
x
1
1
5
1
x
2
2
5 2x
EX: 2 Solve for x
![Page 8: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/8.jpg)
x
3
1
1
x
1
3 22
45
EX: 3 Solve for x
x 3
2x
3
2
2
2
x 3 2
2
![Page 9: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/9.jpg)
![Page 10: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/10.jpg)
30-60-90 Right Triangle
1
2
30
60
This is our reference triangle for the 30-60-90 triangle.
3
We will use a reference triangle to set up a proportion then solve.
![Page 11: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/11.jpg)
30-60-90 Right Triangle
x2x
30
60
3x
![Page 12: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/12.jpg)
60
30
x
y
8
x
1
8
2
y 8
23
2 8x
4x
8 3 2y
4 3 y
12
3
30
60
Ex: 1
![Page 13: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/13.jpg)
60
30
x
24
Solve for x
24
2
x
1
12
3
30
60
2x = 24
x = 12
Ex: 2
![Page 14: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/14.jpg)
60
30
x
14
14
2
x
1
12
3
30
60
2x = 14
x = 7
Ex: 3
y
14
2
y
3
2y = 14 3
y = 7 3
![Page 15: *You will be able to find the lengths of sides of special ...€¦ · 30-60-90 Right Triangle 1 2 30 60 This is our reference triangle for the 30-60-90 triangle. 3 We will use a reference](https://reader034.fdocuments.in/reader034/viewer/2022050212/5f5ebd4f3fb0125c0d0f83f6/html5/thumbnails/15.jpg)
60
30
x
x
1
12
3
30
60
x = 5
Ex: 4
y
y
5 3
5 3
3 2
5 3
3
y = 10