Need help on this question please Adam has created a triangular table, as shown. Because his table will have only one pedestal leg, heneeds to find the balance point of the table top. To do this, he has located the centroid of the tabletop, as shown on the right. However, he is not sure if that point really is the center of mass.How can you prove to Adam that this point really is the center of mass?O Show him that the three medians form three pairs of congruent triangles.O Have him try to balance the table top at that point of concurrency to see if it will balance.O Show him that each median is a balance line with equal area on both sides. Therefore, their point ofconcurrency is the balance point of the triangle.O Show him that the point of concurrency is equidistant from the three vertices of the triangle, and therefore itis the center of mass of the table.

In this question, the concept of the median is applied. Median A line segment from a triangle's…

dam has created a triangular table, as shown. Because his table will have only eeds to find the balance point of the table top. To do this, he has located the c p, as shown on the right. However, he is not sure if that point really is the cer

dam has created a triangular table, as shown. Because his table will have only eeds to find the balance point of the table top. To do this, he has located the c p, as shown on the right. However, he is not sure if that point really is the cer

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter1: Line And Angle Relationships

Section1.2: Angles And Their Relationships

Problem 9E: Use drawings as needed to answer each of the following questions. Must two rays with a common...

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Question

Need help on this question please

Adam has created a triangular table, as shown. Because his table will have only one pedestal leg, he
needs to find the balance point of the table top. To do this, he has located the centroid of the table
top, as shown on the right. However, he is not sure if that point really is the center of mass.
How can you prove to Adam that this point really is the center of mass?
O Show him that the three medians form three pairs of congruent triangles.
O Have him try to balance the table top at that point of concurrency to see if it will balance.
O Show him that each median is a balance line with equal area on both sides. Therefore, their point of
concurrency is the balance point of the triangle.
O Show him that the point of concurrency is equidistant from the three vertices of the triangle, and therefore it
is the center of mass of the table.

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