Question

△ABC is drawn with the length of side BC being 9.6 cm. If ∠C is ∠36⁰ and B is 84⁰, then, what is the length of side AB? ( in cm)

• A. 7.6 cm
• B. 6.6 cm
• C. 8.6 cm
• D. 5.6 cm

Answer 1

The correct option is B 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