# Worksheet: Medians of Triangles

In this worksheet, we will practice identifying the medians of a triangle and using their properties of proportionality to find a missing length.

**Q1: **

In , where is the midpoint of , what name is given to ?

- A hypotenuse
- B median
- C base
- D height

**Q2: **

In a triangle , is the point of concurrency of its medians. If is a median, then .

- A
- B
- C2
- D

**Q4: **

Find the length , given that .

**Q6: **

In , . Find the length of .

**Q7: **

In , and . Find .

**Q8: **

In the given figure, segments and are the medians of , where , , and . Determine to the nearest tenth.

**Q9: **

In , . Find the length of .

**Q10: **

Given that the area of , find the area of .

**Q11: **

Find the length of and the perimeter of .

- A , perimeter of
- B , perimeter of
- C , perimeter of
- D , perimeter of

**Q12: **

Equilateral triangle has side 50.6. Given that is the intersection of its medians, determine .

**Q13: **

Given that is a median of , , and , find the length of .

**Q14: **

Use the data in the figure to determine the length of and then the perimeter of .

- A length of , perimeter of
- B length of , perimeter of
- C length of , perimeter of
- D length of , perimeter of

**Q15: **

In triangle , , and is the midpoint of . Find the length of .

**Q16: **

In triangle , , and is the midpoint of . Find the length of .

**Q17: **

Given that and , find the perimeter of .

**Q18: **

Given that , , and , find the length of .

- A 21 cm
- B cm
- C cm
- D 12 cm

**Q19: **

What is the length of ?

**Q20: **

Given that point bisects , point bisects , and intersect at point , and , find the length of .

**Q21: **

Given that is the point of intersection of the medians, , , and , find the lengths of , , and to the nearest hundredth.

- A , ,
- B , ,
- C , ,

**Q22: **

Given that and , find the length of .

**Q23: **

Given that , find the lengths of and .

- A ,
- B ,
- C ,
- D ,

**Q24: **

Given that is a parallelogram, which line segment is a median in ?

- A
- B
- C
- D

**Q25: **

Given that and , find the perimeter of .