Module #6 of 15 Pythagorean Theorem 9th Grade

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HIP Manager: ________________
Module #6 of 15
Pythagorean Theorem
9 th Grade
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9th
P
assing TAKS
MOD #6
Pythagorean
Theorem
2

VOCABULARY ALERT
Definition of right triangle- A triangle with one right
angle and two acute angles.
Hypotenuse- Opposite side of the right angle, the
longest side of the right triangle
Leg- the side NOT opposite of the right angle.
3

Hypotenuse = c
Leg=b
Leg=a
4

LOCK
The Pythagorean Theorem
Hypotenuse 2 = Leg 2 + Leg 2
c 2 = a 2 + b 2
5
Check →

Leg=
b
Hypotenuse = c
Leg=a
a= 5 b=12 c=
a= b=24 c=25
a=11 b= c=61
6

Leg=
b
Hypotenuse = c
Leg=a
a= 5 b=12 c= 13 c=
5
2
12
2
a=7 b=24 c=25 a=
a=11 b=60 c=61 b=
25
2
61
2
24
2
11
2
7

LOCK
Determine how far Kim walked
8

LOCK
9
Check →

LOCK
Using the Pythagorean theorem we have :
25 2 + b 2 = 65 2
625 + b 2 = 4225
-625 + 625 + b 2 = -625 + 4225
b 2 = 3600
b = 60
By traveling via oak rd. and Mount Hwy she will
travel 25 + 60 or 85 miles.
If she takes the Airport rd. (Hypotenuse) she will
only travel 65 miles which will save her 85 – 65
or 20 miles.
10

POP
LOCK
AND
DROP
Answer the following questions and your
math teacher will check them for you.
11

About how many feet of fencing are
needed to enclose a rectangular
garden with a 30-foot-long side and a
40-foot-long diagonal?
A 113 ft
B 133 ft
C 140 ft
D 160 ft
12

Which of the following sets of numbers
represents the side lengths in units of a
right triangle?
A 5, 3.2, 4.1
B 3.6, 6, 4.8
C 4.5, 8, 6.7
D 8.5, 5.2, 10
13

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15