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McGraw Hill Integrated II, 2012

MH

McGraw Hill Integrated II, 2012 View details

7. Scale Drawings and Models

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Exercise 39 Page 605

The centroid is the point of concurrency of the medians of a triangle. Use the Concurrency of Medians Theorem.

10.5

Practice makes perfect

The centroid is the point of concurrency of the medians of a triangle. In the given diagram, M is the centroid.

Using the Concurrency of Medians Theorem, we can write an equation that we can use to find the desired length, SC. CM = 2/3SC We are given that CS=7. We can substitute this into the above equation to find the length of segment SC.

CM = 2/3SC

CS= 7

7 = 2/3SC

▼

Solve for SC

LHS * 3=RHS* 3

21 = 2SC

Rearrange equation

2SC = 21

.LHS /2.=.RHS /2.

SC = 10.5

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Exercises p.602-605