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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 40 Page 605

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

6

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, RB. RM = 2/3RB We are given that RM=4. We can substitute this into the above equation to find the length of segment RB.

RM = 2/3RB

RM= 4

4 = 2/3RB

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Solve for RB

LHS * 3=RHS* 3

4 * 3 = 2 * 3/3RB

Cross out common factors

4 * 3 = 2 * 3/3RB

CancelCommonFac

Cancel out common factors

4 * 3 = 2RB

Multiply

12 = 2RB

Rearrange equation

2RB = 12

.LHS /2.=.RHS /2.

RB = 6

Subchapter links

Exercises p.602-605