Geometry drill 1/2/14
Warm Up
Classify each triangle by its angle measures.

1.

2.
acute

3. Simplify

right
12

4. If a ...
Which is the largest
angle and why?
Objective


SW define and apply the
Pythagorean Theorem
so that they can find the
dimensions of geometric
figures.
Right Triangle Def.
 Legs-__________

a

c
Right Triangle Def.
a and b
 Legs-__________

a

c
Right Triangle Def.
a and b
 Legs-__________
 Hypotenuse-______
a

c
Right Triangle Def.
a and b
 Legs-__________
 Hypotenuse-______
c
a

c
Hypotenuse


The ________ side of
a right triangle across
from the ________
angle.
Hypotenuse


longest
The ________ side of
a right triangle across
right
from the ________
angle.
Pythagorean Theorem


For any right triangle,
the sum of the square
of the two ___
is equal to
c
the square a
of the
____...
Pythagorean Theorem


For any right triangle,
the sum of the square
of the two legs
___
is equal to
c
the square a
of the...
Pythagorean Theorem
2+b2=c2
a
c

a
b
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is less than
the s...
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is less than
the s...
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is greater
than th...
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is greater
than th...
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is equal to
the sq...
Corollary to the
Pythagorean Theorem
 If the sum of the squares
of the two shorter sides
of a triangle is equal to
the sq...
Corollary to the
Pythagorean Theorem
2+b2>c2
a
acute
2+b2<c2
a
obtuse
2+b2=c2
a
right
Is the following triangle
acute, obtuse or right?

12

15
10
Is the following triangle
acute, obtuse or right?

3

5
4
Is the following triangle
acute, obtuse or right?

12

20
10
Conclusion

Summarize the
corollary to the
Pythagorean
theorem:


1. Find the value of x.

12
2. An entertainment center is 52 in. wide and 40 in.
high. Will a TV with a 60 in. diagonal fi...
Chapter 5 day 4  pythagorean thm
Chapter 5 day 4  pythagorean thm
Chapter 5 day 4  pythagorean thm
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Chapter 5 day 4 pythagorean thm

  1. 1. Geometry drill 1/2/14 Warm Up Classify each triangle by its angle measures. 1. 2. acute 3. Simplify right 12 4. If a = 6, b = 7, and c = 12, find a2 + b2 and find c2. Which value is greater? 85; 144; c2
  2. 2. Which is the largest angle and why?
  3. 3. Objective  SW define and apply the Pythagorean Theorem so that they can find the dimensions of geometric figures.
  4. 4. Right Triangle Def.  Legs-__________ a c
  5. 5. Right Triangle Def. a and b  Legs-__________ a c
  6. 6. Right Triangle Def. a and b  Legs-__________  Hypotenuse-______ a c
  7. 7. Right Triangle Def. a and b  Legs-__________  Hypotenuse-______ c a c
  8. 8. Hypotenuse  The ________ side of a right triangle across from the ________ angle.
  9. 9. Hypotenuse  longest The ________ side of a right triangle across right from the ________ angle.
  10. 10. Pythagorean Theorem  For any right triangle, the sum of the square of the two ___ is equal to c the square a of the _________.
  11. 11. Pythagorean Theorem  For any right triangle, the sum of the square of the two legs ___ is equal to c the square a of the _________. hypotenuse
  12. 12. Pythagorean Theorem 2+b2=c2 a c a b
  13. 13. 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 ______.
  14. 14. 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 ______.
  15. 15. 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 ______.
  16. 16. 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 acute triangle is ______.
  17. 17. 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 ______.
  18. 18. 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 ______.
  19. 19. Corollary to the Pythagorean Theorem 2+b2>c2 a acute 2+b2<c2 a obtuse 2+b2=c2 a right
  20. 20. Is the following triangle acute, obtuse or right? 12 15 10
  21. 21. Is the following triangle acute, obtuse or right? 3 5 4
  22. 22. Is the following triangle acute, obtuse or right? 12 20 10
  23. 23. Conclusion Summarize the corollary to the Pythagorean theorem: 
  24. 24. 1. Find the value of x. 12 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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