# Worksheet: Medians and Altitudes of Triangles

Q1:

What is length rounded to the nearest hundredth?

Q2:

Determine the lengths of and .

• A ,
• B ,
• C ,
• D ,

Q3:

In , and . Find .

Q4:

In , . Find the length of .

Q5:

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

Q6:

In , . Find the length of .

Q7:

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

Q8:

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

• A , ,
• B , ,
• C , ,

Q9:

In the figure, calculate the length of .

Q10:

Given that and , find the length of .

Q11:

Given that , find the lengths of and .

• A ,
• B ,
• C ,
• D ,

Q12:

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

Q13:

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

• A
• B
• C
• D

Q14:

Find the lengths of and .

• A 212 cm, 53 cm
• B 183.6 cm, 53 cm
• C 106 cm, 106 cm
• D 106 cm, 53 cm

Q15:

Find the length of and the perimeter of .

• A , perimeter of
• B , perimeter of
• C , perimeter of
• D , perimeter of

Q16:

What is the length of ?

Q17:

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

Q18:

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

Q19:

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

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

Q20:

Find the length , given that .

Q21:

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

Q22:

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

Q23:

Given that and , find the perimeter of .

Q24:

Given that , , and , find the length of .

• A 12 cm
• B cm
• C 21 cm
• D cm

Q25:

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

• A
• B
• C
• D2