1. Geometry drill 1/8/13
Warm Up
Classify each triangle by its angle measures.
1. 2.
acute right
3. Simplify 12
4. If a = 6, b = 7, and c = 12, find a2 + b2 and find c2.
Which value is greater?
85; 144; c2

2. Objective
SW define and apply the
Pythagorean Theorem
so that they can find the
dimensions of geometric
figures.

3. Right Triangle Def.
Legs-__________
c
a

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

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

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

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

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

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

10. Pythagorean
Theorem triangle,
For any right
the sum of the square
of the two legs
___
is equal to
the square a c
of the
_________.
hypotenuse

11. Pythagorean
Theorem
a +b =c
2 2 2
c
a
b

12. 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
______.

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
______.
obtuse

14. 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 ______.

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 ______.
acute

16. 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
______.

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
______.
right

18. Corollary to the
Pythagorean
Theorem
a +b >c acute
2 2 2
a +b <c
2 2 2
obtuse
a +b =c
2 2 2
right

19. Is the following
triangle acute, obtuse
or right?
12 15
10

20. Is the following
triangle acute, obtuse
or right?
3 5
4

21. Is the following
triangle acute, obtuse
or right?
12 20
10

22. Conclusion
Summarize the
corollary to the
Pythagorean
theorem:

23. 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.