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You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of the triangle so you want the legs to be in the center of the triangle. This is going to be tricky because you need to find the point where the triangle will balance in the center. This point where the triangle will balance is called the centroid. It is the point where all three medians of the sides of the triangle intersect. Now that you have learned about two points of intersections within a triangle please answer the following two questions. • Which of the points do you believe is the center of gravity based on the description above? The centroid or the incenter? How can you tell from the description? • Please come up with your own real-life scenario that could be accurately represented by either the centroid or incenter. Please explain which term you are describing, incenter or centroid, and how your real-life scenario fits the definition of the term you chose.

You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of the triangle so you want the legs to be in the center of the triangle. This is going to be tricky because you need to find the point where the triangle will balance in the center. This point where the triangle will balance is called the centroid. It is the point where all three medians of the sides of the triangle intersect. Now that you have learned about two points of intersections within a triangle please answer the following two questions. • Which of the points do you believe is the center of gravity based on the description above? The centroid or the incenter? How can you tell from the description? • Please come up with your own real-life scenario that could be accurately represented by either the centroid or incenter. Please explain which term you are describing, incenter or centroid, and how your real-life scenario fits the definition of the term you chose.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter4: Eigenvalues And Eigenvectors
Section4.2: Determinants
Problem 13AEXP
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You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of the triangle so you want the legs to be in the center of the triangle. This is going to be tricky because you need to find the point where the triangle will balance in the center. This point where the triangle will balance is called the centroid. It is the point where all three medians of the sides of the triangle intersect. Now that you have learned about two points of intersections within a triangle please answer the following two questions. • Which of the points do you believe is the center of gravity based on the description above? The centroid or the incenter? How can you tell from the description? • Please come up with your own real-life scenario that could be accurately represented by either the centroid or incenter. Please explain which term you are describing, incenter or centroid, and how your real-life scenario fits the definition of the term you chose.
Transcribed Image Text:You are building a new desk for your room and decide to make it triangular in shape. You want to be able to put chairs on all three sides of the triangle so you want the legs to be in the center of the triangle. This is going to be tricky because you need to find the point where the triangle will balance in the center. This point where the triangle will balance is called the centroid. It is the point where all three medians of the sides of the triangle intersect. Now that you have learned about two points of intersections within a triangle please answer the following two questions. • Which of the points do you believe is the center of gravity based on the description above? The centroid or the incenter? How can you tell from the description? • Please come up with your own real-life scenario that could be accurately represented by either the centroid or incenter. Please explain which term you are describing, incenter or centroid, and how your real-life scenario fits the definition of the term you chose.
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