# 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 ?

• Amedian
• Bheight
• Chypotenuse
• Dbase

Q2:

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

Q3:

What is length rounded to the nearest hundredth? Q4:

Find the length , given that . Q5:

Determine the lengths of and . • A,
• B,
• C,
• D,

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 . • Alength of , perimeter of
• Blength of , perimeter of
• Clength of , perimeter of
• Dlength 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 . • A12 cm
• B cm
• C21 cm
• D 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 . 