1.
What is the late work policy in Ms.
Hendricks Class?
2.
Can you form a triangle with side lengths
of 3, 8, and 6? Explain.
3.
If a triangle has two side lengths of 12 and
5, what is the range of possible values for
the third side?
Quiz tomorrow!
 Homework roll tomorrow!

 Put
graded in at the top in
COLORED pen
 Put x’s on wrong or blank answers
 Put correct answers down
The Pythagorean Theorem:
In a right triangle, the sum of the squares
of the lengths is equal to the square
of the length of the hypotenuse
c
a
b
hypotenuse
a 2  b 2  c 2 Use when finding the ___________
b  c a
2
leg
Use when finding a ___________
a  c b
2
leg
Use when finding a ___________
2
2

Turn to the back of the notes and work
with your shoulder partner to complete
problems 1, 2, and 3 under the practice
How do we get a converse statement?
RIGHT
The sides of a triangle measure 2.4, 3.2,
and 4.
Is this triangle a right triangle?
Pythagorean Inequality Theorem (acute  ):
If the square of the length of the longest side of a triangle is less than the sum of the
squares of the length of the two shorter sides, then the triangle is _________________
c 2  a 2  b 2  Acute 

Classify the triangle using the lengths of
its sides.
a) 6, 8, 10
b) 4, 5, 6
Pythagorean Inequality Theorem (obtuse  ):
If the square of the length of the longest side of a triangle is greater than the sum of the
squares of the length of the two shorter sides, then the triangle is _________________
c 2  a 2  b 2  Obtuse 
Classify the triangle using the lengths of its
sides
c) 3, 4, 6

How do you know which number is “c”
and which are “a” and “b”?

Work with your group to classify the
triangles in problems 11 – 16.
A Pythagorean triple is a set of nonzero whole
numbers a, b, and c that satisfy the equation a2 + b2 = c2

 The

most common Pythagorean triples are:
3, 4, 5
 There
5, 12, 13
8, 15, 17
7, 24, 25
multiples are also triples
6, 8, 10
__, __,__
__,__,__
__,__,__

Why are these helpful to know?
› Less work!
› Super helpful on timed tests (AKA the SAT!)
Textbook Pg. 420 #’s 7 – 26 ALL
 Must be completed in pencil or black pen
to receive credit
