#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.