Geometric Mean with Right Triangles
Authored by Barbara White
Mathematics
11th Grade
CCSS covered
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10 questions
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1.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
In a right triangle, _____ to the hypotenuse creates two similar right triangles.
Tags
CCSS.HSG.SRT.B.4
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a right triangle, if the length of the altitude drawn to the hypotenuse is 6 units and the length of the segment of the hypotenuse adjacent to the altitude is 9 units, what is the length of the other segment of the hypotenuse?
4 units
12 units
3 units
6 units
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the geometric mean of the lengths of the segments of the hypotenuse created by the altitude in a right triangle, if one segment is 4 units and the other is 9 units?
6 units
6.5 units
7 units
5.5 units
Tags
CCSS.HSG.SRT.B.4
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
If the length of the altitude to the hypotenuse of a right triangle is equal to the geometric mean of the lengths of the segments of the hypotenuse it divides, and one segment is 8 units, what is the length of the altitude?
8 units
4 units
6 units
10 units
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a right triangle, the altitude to the hypotenuse divides the hypotenuse into segments of lengths 5 units and 12 units. What is the length of the altitude?
6 units
7.2 units
8 units
9.6 units
Tags
CCSS.HSG.CO.C.10
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How does the altitude to the hypotenuse of a right triangle relate to the two segments of the hypotenuse it creates?
It is equal to the sum of the lengths of the two segments.
It is the geometric mean between the lengths of the two segments.
It is equal to the difference between the lengths of the two segments.
It has no specific relationship to the lengths of the two segments.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Given a right triangle with a hypotenuse of 13 units and one leg of 5 units, what is the length of the altitude drawn to the hypotenuse?
12 units
5 units
6 units
60/13 units
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