# Worksheet: Geometric Constructions: Triangles

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

**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