Question

$△$ABC is constructed such that BC = 5.8 cm, $\angle$C= $\angle$B = 30${}^{\circ }$. Then, the sum of length of side AC and AB is

• A. 6.8 cm
• B. 5.4 cm
• C. 7.2 cm
• D. 4.8 cm

Answer 1

The correct option is A 6.8 cm

Steps of construction of $△$ABC:

Step 1:
Draw the base line BC of the length 5.8 cm.

Step 2:
Measure the angle C with your protractor. Make a mark at 30 degrees and draw a line from C passing through the mark.

Step 3:
Measure the angle B with your protractor. Make a mark at 30 degrees and draw a line from B passing through the mark.

Step 4:
Name the point of intersection of these two lines as A and the $△$ABC is complete, as shown below.

Now, from the above construction we see that the sum of length of the side AC and AB is 6.8 cm