
Special Right Triangles and Geometric Mean
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Mathematics
9th Grade
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15 questions
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1.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the significance of the geometric mean in real-world applications?
It is used to average ratios, percentages, and other multiplicative factors in finance and statistics.
It is primarily used to calculate the average of a set of numbers in basic arithmetic.
It is used to determine the median of a data set in statistical analysis.
It is mainly applied in geometry to find the area of shapes.
2.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
If the hypotenuse of a 45-45-90 triangle is 10√2, what is the length of each leg?
5
10
15
20
3.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is a special right triangle?
A triangle with all angles equal to 60 degrees.
A right triangle with specific angle measures and side length ratios, such as the 30-60-90 triangle and the 45-45-90 triangle.
Any triangle that has one angle measuring 90 degrees.
A triangle that can be inscribed in a circle.
4.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What are the side length ratios of a 30-60-90 triangle?
1 : 1 : 1
1 : √2 : 2
1 : √3 : 2
1 : 2 : √3
5.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the measure of the angles in a 45-45-90 triangle?
30 degrees, 60 degrees, 90 degrees
45 degrees, 45 degrees, 90 degrees
60 degrees, 60 degrees, 60 degrees
90 degrees, 45 degrees, 45 degrees
6.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the height of a 30-60-90 triangle if the shorter leg is 7?
7
14
7√3
10
7.
MULTIPLE CHOICE QUESTION
3 mins • 1 pt
What is the formula for the area of a triangle?
A = base * height
A = (1/2) * base * height
A = base + height
A = (1/3) * base * height
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