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. Which is the largest
angle and why?

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

5. Right Triangle Def.
 Legs-__________
a
c

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

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

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

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

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

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

12. 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

13. Pythagorean Theorem
2+b2=c2
a
c
a
b

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
______.

15. 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
______.

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
triangle is ______.

17. 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 ______.

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
______.

19. 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
______.

20. Corollary to the
Pythagorean Theorem
2+b2>c2
a
acute
2+b2<c2
a
obtuse
2+b2=c2
a
right

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

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

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

26. Conclusion
Summarize the
corollary to the
Pythagorean
theorem:


27. 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.