Mrs' Bond

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Pythagorus and Right Triangles

• Mrs.
  Bond

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• The Pythagorean Theorem applies to
• all right triangles

The Pythagorean Theorem says
leg2 leg2 hypotenuse2
The hypotenuse is ALWAYS opposite the right angle
AND . . .
hypotenuse
leg
It is ALWAYS the longest side
leg
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• The Pythagorean Theorem applies to

ALL
RIGHT
TRIANGLES
A
Angle A opens to side a
Angle C opens to side c
c
b
B
C
a
Angle B opens to side b
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• The Pythagorean Theorem applies to

ALL
RIGHT
TRIANGLES
A
SO,
in all right triangles . . .
a2
c2
b2


c
b
B
C
a
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Using Pythagorusto find missing sides
If we are given sides a and b (the two legs)
A
and we want to find c (the hypotenuse)
We take the square root of both sides of the
Pythagorean equation
b2
c

b
or
C
B
C
a
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Examples

• If a 3, and b 4, find c

A
5
C ?
4
C 5
B
C
3
7

• If a 5 and b 12, find c

C
c
13
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• If a 8 and b 15, find c

C
c
17
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• If a 7 and b 24, find c

C
c
25
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• Get It ???

Got It ???
GOOD !!!
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Now YOU try
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• The Pythagorean Theorem applies to
• all right triangles

Pythagorean Theorem says
leg2 leg2 hypotenuse2
The hypotenuse is ALWAYS opposite the right angle
hypotenuse
leg
leg