004 pythagorean thm
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Warm Up Classify each triangle by its angle measures. 1. 2. 3. Simplify 4. If a = 6, b = 7, and c = 12, find a 2 + b 2 and find c 2 . Which value is greater? acute right 12 85; 144; c 2 Geometry drill 1/8/13
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Transcript of 004 pythagorean thm
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 1/8/13
Objective SW define and apply the Pythagorean Theorem so that they can find the dimensions of geometric figures.
Right Triangle Def.Legs-__________
c
b
a
Right Triangle Def.Legs-__________
c
b
a
a and b
Right Triangle Def.Legs-__________Hypotenuse-______
a and b
c
b
a
Right Triangle Def.Legs-__________Hypotenuse-______
c
b
a
a and b
c
HypotenuseThe ________ side of a right triangle across from the ________ angle.
HypotenuseThe ________ side of a right triangle across from the ________ angle.
longest
right
Pythagorean Theorem For any right triangle, the sum of the square of the two ___
c
b
a
is equal to the square of the _________.
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
Pythagorean Theorema2+b2=c2
c
b
a
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 ______.
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
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 ______.
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
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 ______.
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
Corollary to the Pythagorean Theorem
a2+b2>c2 acute a2+b2<c2 obtuse a2+b2=c2 right
Is the following triangle acute, obtuse or right?
15
10
12
Is the following triangle acute, obtuse or right?
5
4
3
Is the following triangle acute, obtuse or right?
20
10
12
ConclusionSummarize the corollary to the Pythagorean theorem:
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.
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