1'3 Pythagorean Theorem

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1.3 Pythagorean Theorem
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Pythagorean Theorem (Pyth Thm) sum of the squs
of the legs of rt ? squ of hyp
c
a
b
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Examples find x
10
x
x
3
4
8
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Example Find dist between pts (5,1) (-3,-3)
Method 1 Pyth Thm
Method 2 Distance Formula
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Midpt pt exactly ½ way between 2 pts
A
B
X
X is midpt of AB if ______________
Shortcut idea!!!
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Examples
Find midpt of A(8,4) B(12,2)
Find endpt if one endpt A(-4,3) midpt M(-1,5)
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Segment bisector (seg bis) a seg, line, or
plane that intersects a seg _at_ its midpt
C
A
B
M
D
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Examples find x
x
7 km
x
5 cm
25 km
12 cm
6 in
7 in
x
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Assignment

• 1.3 p. 25 (14 68 even, 48, 56)