Solve simple construction problem

Introduction:

         Geometrical figures help us to understand various geometrical concepts. When we prove geometrical propositions by logical reasoning, we draw only a rough figure and we do not need to take accurate measurements but geometrical constructions have to be drawn accurately to the given measurements. They are used by scientists, artists and engineers. These constructions are done using ruler and compass construction only.

Let's see 1 Simple Construction Problem in which we will discuss about the measurements of various sketches.

Question 1

Question:  
Answer:    Steps of Construction:
Step 1:
Draw a rough sketch as shown in figure and mark the given measurements.

Step 2:
Draw a line XY and on it cut off BC = 3.5cm.
Step 3:

Step 4:
Cut off a length BD=5.5cm on BY.
Step 5:
Join CD.
Step 6:
Draw the perpendicular bisector of CD.
Let the perpendicular bisector of CD intersect BD at A.
Step 7:
Join AC.
Then, ABC is the required triangle.

Hope you liked the above explanation. Please leave your comments, if you have any doubts.