Warm-up: operations with radicals

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Warm-up operations with radicals
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Proportions
When two ratios are set equal to each other, we
call that a PROPORTION.
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4 out of 5 Dentists Recommend Trident
?
20
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Solve the proportion
The ratio of sophomores to juniors in the Math
Club is 23. If there are 21 juniors, how many
sophomores are in the club?
x
21
3x 42
X 14, There are 14 sophomores in the math club.
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Solve the proportion
The ratio of cash to gold in the national
treasury is 43. If there are 12 gold bars, how
many stacks of cash are in the bank?
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Let's Practice
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PRACTICE PROBLEMS
Solve each proportion
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1. Special Right Triangle investigation
2. Examples
3. Practice

Test next Friday
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Special Right Triangles
45-45-90 And 30-60-90
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This is our reference triangle for the 45-45-90.
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EX 1 Solve for x
Lets set up a proportion by using our reference
triangle.
x
3
1
3
1
14
EX 2 Solve for x
x
5
1
5
1
15
EX 3 Solve for x
45
3
1
1
x
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60?
30?
This is our reference triangle for the 30-60-90
triangle.
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Ex 1
60
8
60
2
x
1
30
30
y
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Solve for x
Ex 2
30
60
2
x
1
24
60
30
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Ex 3
30
60
2
14
1
y
30
60
x
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Ex 4
x
60
2
1
60
30
30
y
21

• Practice
• Worksheet Special Right Triangles