Hon. Geom. FLASHCARD REVIEW Unit 5

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is the formula to find the length of a side in a triangle using the centroid?
Back
The centroid divides each median into two segments, with the longer segment being twice the length of the shorter segment.
2.
FLASHCARD QUESTION
Front
Define the centroid of a triangle.
Back
The centroid is the point where the three medians of a triangle intersect, and it is also the center of mass of the triangle.
3.
FLASHCARD QUESTION
Front
What are medians in a triangle?
Back
Medians are line segments that connect a vertex of the triangle to the midpoint of the opposite side.
4.
FLASHCARD QUESTION
Front
How do you find the length of a side in a triangle if two sides are known?
Back
You can use the Pythagorean theorem if the triangle is right-angled, or apply the law of cosines for other types of triangles.
5.
FLASHCARD QUESTION
Front
What is the relationship between the sides of a triangle and its angles?
Back
In a triangle, the larger the angle, the longer the opposite side; conversely, the smaller the angle, the shorter the opposite side.
6.
FLASHCARD QUESTION
Front
What is the significance of the centroid in triangle geometry?
Back
The centroid is the balance point of the triangle and divides each median into a 2:1 ratio.
7.
FLASHCARD QUESTION
Front
How do you calculate the area of a triangle given the lengths of its sides?
Back
You can use Heron's formula: Area = √[s(s-a)(s-b)(s-c)], where s is the semi-perimeter (s = (a+b+c)/2).
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