Download - Lesson 11-3 Pages 479-482
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Lesson 11-3 Pages 479-482
The Pythagorean
Theorem
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What you will learn!
How to find length using the Pythagorean
Theorem.
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LegLegHypotenuseHypotenusePythagorean TheoremPythagorean Theorem
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What you really need to know!
The sides of a right triangle have special names. The sides adjacent to the right angle are the legs. The side opposite the right angle is the hypotenuse.
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The Pythagorean Theorem describes the relationship between the length of the hypotenuse and the lengths of the legs. In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the lengths of the legs.
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The Pythagorean Theorem
ca
b
c2 = a2 + b2
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Link to Pre-Made Lesson
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Example 1:
A gymnastics tumbling floor is in the shape of a square with sides 12 meters long. If a gymnast flips from one corner to the opposite corner, about how far has he flipped?
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c2 = a2 + b2
c2 = 122 + 122
c2 = 144 + 144
c2 = 288
c ≈ 17m
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Example 2:
Find the missing measure of the triangle.
15 cm
9 cm
a
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152 = a2 + 92
225= a2 + 81
144 = a2
12 = a
a =12 cm
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Example 3:
Televisions are measured by their diagonal measure. If the diagonal of a television is 36 inches, and its height is 21.6 inches, what is its width?
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c2 = a2 + b2
362 = 21.62 + b2
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362 = 21.62 + b2
1,296 = 466.56 + b2
829.44 = b2
28.8 = b
28.8 inches
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Example 4:
Determine whether the triangle is a right triangle.
2.5 cm, 6 cm, 6.5 cm
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c2 = a2 + b2
6.52 = 62 + 2.52
42.25 = 36 + 6.25
42.25 = 42.25
YES! Right Triangle.
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Example 5:
Determine whether the triangle is a right triangle.
5 ft, 6 ft, 8 ft
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c2 = a2 + b2
82 = 62 + 52
64 = 36 + 25
64 ≠ 61
No! Not Right Triangle.
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Page 481
Guided Practice
#’s 4-8
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Pages 479-481 with someone at home and study
examples!
Read:
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Homework: Page 482
#’s 9-21 all
#’s 24-34 all
Lesson Check 11-3
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Link to Math Review Practice
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590
Lesson 11-3