Question

$△$ABC is drawn with the length of side BC being 9.6 cm. If $\angle$C is 36${}^{\circ }$ and $\angle$B is 84${}^{\circ }$, then, the length of side AB is

• A. 11 cm
• B. 9.8 cm
• C. 6.6 cm
• D. 5.4 cm

Answer 1

The correct option is C

6.6 cm

Steps of construction of $△$ABC:

Step 1:
Draw the base line BC of the length 9.6 cm.

Step 2:
Measure the angle C with your protractor. Make a mark at 36 degrees and draw a line from C passing through the mark.

Step 3:
Measure the angle B with your protractor. Make a mark at 84 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 length of the side AB is 6.6 cm