8 1 similarity in rt tri
TRANSCRIPT
Right TrianglesRight Triangles
8-1 Similarity in Right Triangles8-1 Similarity in Right Triangles
ReviewReview
a
b d
c= MeansExtremes Means
Geometric MeanGeometric Mean
a
x b
x=
The geometric mean between a and b is x if you do this:
What is x?
x ab=
What is the geometric mean What is the geometric mean between 2 and 18?between 2 and 18?
1. 9
2. 6
3. 20
4. 8
0
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2019181716151413121110987654321
TheoremTheorem
• If the altitude is drawn to the hyp. of a right triangle, then the two triangles formed are similar to the original triangle and to each other.
CorollaryCorollary
• The length of the altitude is the geometric mean between the segments of the hypotenuse
Corollary 2Corollary 2
• Each leg is the geometric mean between the hyp. And the segment of the hyp. that is adjacent to that leg
u is the geometric mean between u is the geometric mean between __ and __.__ and __.
u
k
t v
sr
1. s,r
2. k,r
3. k,s
4. v,u
5. t,r
0
2524232221
2019181716151413121110987654321
t is the geometric mean between __ t is the geometric mean between __ and __.and __.
u
k
t v
sr
0
1. s,r
2. k,r
3. k,s
4. t,u
2524232221
2019181716151413121110987654321
v is the geometric mean between v is the geometric mean between __ and __.__ and __.
u
k
t v
sr
0
1. s,r
2. k,r
3. k,s
4. t,v
2524232221
2019181716151413121110987654321
v is the geometric mean between v is the geometric mean between __ and __.__ and __.
u
k
t v
sr
1. s,r
2. k,r
3. k,s
4. t,v
2524232221
2019181716151413121110987654321
7
SPICSASPICSA
• Page 288 2-24 even