# Worksheet: Geometric Constructions: Triangles

In this worksheet, we will practice constructing a triangle given its three sides and using its properties to solve problems.

Q1:

Draw a triangle in which , , and . Bisect with a line that intersects at the point . Measure the length of .

Q2:

Draw a triangle in which and . First, bisect at and at , then connect the points to draw . Using the drawing, determine the length of

Q3:

Draw the triangle , where , , and . Then draw a perpendicular line from to intersecting it at , and a perpendicular line from to intersecting it at . Use the ruler to find the lengths of and .

• A,
• B,
• C,
• D,

Q4:

Draw a triangle , in which , , and . Then draw a perpendicular line from to that intersects it at , draw another perpendicular line from to that intersects it at , and finally draw a perpendicular line from to that intersects it at . Use the ruler to find the lengths of , , and .

• A, ,
• B, ,
• C, ,
• D, ,

Q5:

Draw a triangle in which , , and . Measure the length of .

Q6:

Draw the following triangle accurately, and then draw so that it bisects at point . Measure the length of . • A cm
• B cm
• C cm
• D cm
• E cm

Q7:

Draw a triangle in which , , and . Draw a line , where the line bisects at point . Measure the length of .

• A
• B
• C
• D
• E

Q8:

Draw the following triangle accurately. Then, measure the length of . • A
• B
• C
• D
• E

Q9:

Draw the following triangle accurately. Measure the length of . • A cm
• B cm
• C cm
• D cm
• E cm

Q10:

Draw the following triangle accurately. Draw a line perpendicular to and intersecting at point . Measure the length of . • A
• B
• C
• D
• E