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1. M is the midpoint of Line AB and N is the midpoint of line AC, and T is the intersection of line BN and line CM, as shown. If ,line BN is perpendicular to line AC, BN=12 and AC=14, then find CT.

2.

Triangle DEF is the medial triangle of Triangle ABC and Triangle XYZ is the medial triangle of Triangle DEF. If the perimeter of Triangle XYZ is 5, what is the perimeter of Triangle ABC?

3. As shown in the diagram Line AD, Line BE and Line CF are concurrent. We know that CD=CE=BF=4 and BD=AF=6. What is AE?

4.

In Triangle ABC, the acute angles are Angle B=60 degrees and Angle C=30 degrees. The centroid of Triangle ABC is G. If AB=1 what is AG?

5.

In the diagram, G is the centroid of Triangle ABC. If the area of ABC=72 then what is the area of GME?

Guest Dec 9, 2018

#1**+1 **

2.

Triangle DEF is the medial triangle of Triangle ABC and Triangle XYZ is the medial triangle of Triangle DEF. If the perimeter of Triangle XYZ is 5, what is the perimeter of Triangle ABC?

A medial triangle has 1/2 the perimeter of its enclosing triangle....so

Perimeter of DEF = 2 * Perimeter of XYZ = 10

Perimeter of ABC = 2 * Perimeter of DEF = 20

CPhill Dec 9, 2018

#2**+10 **

**3. **

**As shown in the diagram Line AD, Line BE and Line CF are concurrent. We know that CD=CE=BF=4 and BD=AF=6. What is AE?**

**Answer see: https://web2.0calc.com/questions/plz-help_54#r4**

heureka Dec 10, 2018