Similar Right Triangles

1. 7.3 Similar Right Triangles
HW pg. 453 #4­20
evens
December 08, 2014
7.3 Similar Right Triangles
Similar Altitude Theorem: When the altitude is drawn to
the hypotenuse, the little s are similar to the big and each other.

2. 7.3 Similar Right Triangles
HW pg. 453 #4­20
evens
December 08, 2014

3. 7.3 Similar Right Triangles
HW pg. 453 #4­20
evens
December 08, 2014
Geometric Means: a x
=
x b
length of shorter leg of 1
length of shorter leg of 2
length of longer leg of 1
length of longer leg of 2
=
length of hypotenuse 3
length of hypotenuse 1
length of shorter leg of 3
length of shorter leg of 1
=
length of hypotenuse 3
length of hypotenuse 2
length of longer leg of 3
length of longer leg of 2
=
A
B
C
D

4. 7.3 Similar Right Triangles
HW pg. 453 #4­20
evens
December 08, 2014
Geometric Mean Altitude Theorem: The length of the altitude is
the geometric mean of the lengths of the 2 segments of the hypotenuse.
altitude2=(part of H) * (other part of H)
Geometric Mean Leg Theorem: The length of each leg is the
geometric mean of the hypotenuse and the segment closer to the leg.
leg2=(H) * (part of H closer to leg)

5. 7.3 Similar Right Triangles
HW pg. 453 #4­20
evens
December 08, 2014
7.3 HW pg. 453 #4‐20 evens