Section 10.2: 45 ­ 45 ­ 90 Triangles
Essential Question: What is the relationship between the side lengths of 45 ­ 45 ­ 90 triangles?
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Opener: Geo Activity on p. 542
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1
Find the following lengths of each hypotenuse in a 45 ­ 45 ­ 90 triangle in SIMPLEST RADICAL FORM.
c
2
c
4
2
c
3
4
3
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Concept 1: 45 ­ 45 ­ 90 Triangle Theorem
Leg
x
Leg
x
Hypotenuse
x√ 2
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2
Find the missing values of the following 45 ­ 45 ­ 90 triangles.
2.
1. y
y
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Now you try!
4.
3.
y
y
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3
Concept 2: Identifying 45 ­ 45 ­ 90 Triangles and Finding Leg Length
Ex. 1:
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Ex. 2:
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4
Now you try!
Ex. 3
Ex. 4
x
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Closure: Wrap­Up Problem
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5
Homework:
p. 545­547 #1­5, 7­27 odd, 31, 35­45
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6
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7