chapter 5 day 4 pythagorean thm
TRANSCRIPT
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Warm UpClassify each triangle by its angle measures.
1. 2.
3. Simplify
4. If a = 6, b = 7, and c = 12, find a2 + b2 and find c2. Which value is greater?
acute right
12
85; 144; c2
Geometry drill 1/2/14
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Which is the largest angle and why?
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Objective SW define and apply the Pythagorean Theorem so that they can find the dimensions of geometric figures.
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Right Triangle Def.Legs-__________
c
b
a
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Right Triangle Def.Legs-__________
c
b
a
a and b
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Right Triangle Def.Legs-__________Hypotenuse-______
a and b
c
b
a
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Right Triangle Def.Legs-__________Hypotenuse-______
c
b
a
a and b
c
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HypotenuseThe ________ side of a right triangle across from the ________ angle.
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HypotenuseThe ________ side of a right triangle across from the ________ angle.
longest
right
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Pythagorean Theorem For any right triangle, the sum of the square of the two ___
c
b
a
is equal to the square of the _________.
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Pythagorean Theorem For any right triangle, the sum of the square of the two ___
c
b
a
is equal to the square of the _________.
legs
hypotenuse
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Pythagorean Theorema2+b2=c2
c
b
a
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is less than the square of the longest side, then the triangle is ______.
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is less than the square of the longest side, then the triangle is ______.obtuse
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, then the triangle is ______.
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, then the triangle is ______.
acute
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, then the triangle is ______.
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Corollary to the Pythagorean Theorem
If the sum of the squares of the two shorter sides of a triangle is equal to the square of the longest side, then the triangle is ______.right
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Corollary to the Pythagorean Theorem
a2+b2>c2 acute a2+b2<c2 obtuse a2+b2=c2 right
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Is the following triangle acute, obtuse or right?
15
10
12
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Is the following triangle acute, obtuse or right?
5
4
3
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Is the following triangle acute, obtuse or right?
20
10
12
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ConclusionSummarize the corollary to the Pythagorean theorem:
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1. Find the value of x.
2. An entertainment center is 52 in. wide and 40 in. high. Will a TV with a 60 in. diagonal fit in it? Explain.
12