Question

$△ABC$ is constructed such that $BC=5.8$ centimeters and $\angle C=\angle B={30}^{\circ }$. In this case, the sum of length of sides $AC$ and $AB$ is _________.

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

Answer 1

The correct option is D 6.8 cm

Steps to construct △ABC:

Step 1:
Draw baseline BC of length 5.8 cm.

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

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

Step 4:
Name the point of intersection of these two lines as A. △ABC is complete.


We can see that the sum of the length of sides AC and AB is 6.8 cm.