Medians & Altitudes

Flashcard
•
Mathematics
•
10th Grade
•
Hard
Standards-aligned
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a median in a triangle?
Back
A median is a line segment that connects a vertex of a triangle to the midpoint of the opposite side.
2.
FLASHCARD QUESTION
Front
What is an altitude in a triangle?
Back
An altitude is a perpendicular segment from a vertex to the line containing the opposite side.
3.
FLASHCARD QUESTION
Front
What is the difference between a median and an altitude?
Back
A median connects a vertex to the midpoint of the opposite side, while an altitude is perpendicular to the opposite side.
4.
FLASHCARD QUESTION
Front
How do you find the length of a median?
Back
To find the length of a median, use the formula: m = 1/2 * √(2a² + 2b² - c²), where a and b are the lengths of the sides adjacent to the median, and c is the length of the opposite side.
Tags
CCSS.HSG.CO.C.10
5.
FLASHCARD QUESTION
Front
What is the relationship between the medians of a triangle?
Back
The three medians of a triangle intersect at a point called the centroid, which divides each median into a ratio of 2:1.
Tags
CCSS.HSG.CO.C.10
6.
FLASHCARD QUESTION
Front
What is the centroid of a triangle?
Back
The centroid is the point where the three medians of a triangle intersect, and it is the center of mass of the triangle.
Tags
CCSS.HSG.CO.C.10
7.
FLASHCARD QUESTION
Front
If a triangle has sides of lengths 6, 8, and 10, what is the length of the median to the longest side?
Back
The length of the median to the longest side (10) is 7.5.
Tags
CCSS.HSG.CO.C.10
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