Homework: Distance & Midpoint Worksheet Big quiz on Thursday Warm-Up:
1.) B From the homework, 7.3 Practice worksheet D...
Transcript of 1.) B From the homework, 7.3 Practice worksheet D...
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A
B
CD
1.)
From the homework, 7.3 Practice worksheet
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Do Now: Identify the similar triangles. Then find the value of x.
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Geometric Mean
In Lesson 6.1, you learned that the geometric mean of two numbers a and b is the positive number x such that a___
xx___b=
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Geometric Mean
Consider right ΔABC. From last class, you know that altitude CD forms two smaller triangles so that ΔCBD ~ ΔACD ~ ΔABC.
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Leg A Leg B
Part A Part B
IHypotenuseI
Altitude
These proportions exist when a right triangle has an altitude drawn from the right angle to the hypotenuse.
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Geometric Mean (Altitude) Theorem
altitude
altitude
other part of hypotenuse
_____________________part of hypotenuse
_____________________ =
Leg A Leg B
Part A Part B
IHypotenuseI
Altitude
Altitude as the geometric mean:
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Use geometric mean. Find the value of y (round decimal answer to nearest tenth)
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Use geometric mean. Find the value of x (round decimal answer to nearest tenth)
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Use geometric mean. Find the value of b.
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Geometric Mean (Leg) Theorem
leg
leg
part of hypotenuse_____________________
whole hypotenuse_____________________ =
Leg A Leg B
Part A Part B
IHypotenuseI
Altitude
Leg A as the geometric mean:
Leg B as the geometric mean:
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Use geometric mean. Find the value of x.
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Use geometric mean. Find the value of x.
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Use geometric mean. Find the value of x, y, and z.
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Take out your student handbook and write downthe homework assignment:
Geometric Mean worksheet
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Geometric Mean (Altitude) Theorem
altitude
altitude
other part of hypotenuse
_____________________part of hypotenuse
_____________________ =
Leg A Leg B
Part A Part B
IHypotenuseI
Altitude
Geometric Mean (Leg) Theorem
leg
leg
part of hypotenuse_____________________
whole hypotenuse_____________________ =
Leg A Leg B
Part A Part B
IHypotenuseI
Altitude