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#3.04 Honors Geom Drill 2/5/15
How would you describe point D, E, &F?
B
D E
CFA
TURN IN HW BY THE TIME THE BELL
RINGS
#3.04 Honors Geom Drill 2/5/15
How would you describe point D, E, &F?
B
D E
CFA
Honors Geom Warm Up 2/5/15
is between which two integers on a number line? 40
100 1002 x
Simplify the radical
32.3
36.2
16.1
48.7
169.6
25.5
Add
66.810.3
1024.12.2
24.1214.14.1
514.14.7
66.824.12.6
66.807.7.5
Objective•SW define and apply the
Pythagorean Theorem,
the Triangle Inequality
theorem, and use this
information to solve
problems.
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
Hypotenuse
•The ________ side of
a right triangle across
from the ________
angle.
Hypotenuse
•The ________ 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 Theorem
•a2+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
List the sides and angles from
largest to smallestSides
1.
2.
3.
Angles
1.
2.
3.
List the sides and angles from
largest to smallestSides
1.
2.
3.
Angles
1.
2.
3.
List the sides and angles from
largest to smallestSides
1.
2.
3.
Angles
1.
2.
3.
List the sides and angles from
largest to smallestSides
1.
2.
3.
Angles
1.
2.
3.