Real Numbers And The Pythagorean Theorem Worksheet - Chapter 7 Page 15
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46The Pythagorean Theorem
7.3
How are the lengths of the sides of a right
triangle related?
Pythagoras was a Greek mathematician and philosopher
who discovered one of the most famous rules in
mathematics. In mathematics, a rule is called a theorem.
So, the rule that Pythagoras discovered is called the
Pythagorean Theorem.
Pythagoras
(c. 570–c. 490
)
B.C.
1 1
ACTIVITY:
Discovering the Pythagorean Theorem
Work with a partner.
a. On grid paper, draw any
right triangle. Label the
lengths of the two shorter
sides
a
and b.
2
c
b. Label the length of the
c
2
a
a
longest side c.
b
c . Draw squares along each
2
b
of the three sides. Label the
areas of the three squares
2
2
2
a
, b
, and c
.
d. Cut out the three squares.
C
OMMON
C
ORE
Make eight copies of the right
Pythagorean Theorem
triangle and cut them out.
In this lesson, you will
Arrange the fi gures to form
provide geometric proof of
●
two identical larger squares.
the Pythagorean Theorem.
2
a
use the Pythagorean
●
e.
MODELING
The
Theorem to fi nd missing
2
c
side lengths of right
Pythagorean Theorem
2
b
triangles.
describes the relationship
solve real-life problems.
●
2
2
2
among a
, b
, and c
. Use
Learning Standards
8.EE.2
your result from part (d) to
8.G.6
write an equation that
8.G.7
8.G.8
describes this relationship.
300
Chapter 7
Real Numbers and the Pythagorean Theorem
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