Question

Construct $\Delta$ABC such that AB = 6 cm, BC = 7 cm, and AC = 5 cm. Find the measure of $\angle C$.

• A. 67°
• B. 57°
• C. 64°
• D. 49°

Answer 1

The correct option is B 57°

Steps of construction:
Step 1: Draw line segment AB = 6 cm.
Step 2: With A as centre, cut an arc of radius 5 cm.
Step 3: With B as centre, cut an arc of radius 7 cm.
Step 4: Mark the point of intersection of are drawn as C.
Step 5: Join A and C, and B and C.

From the above construction, measure the $\angle C$ using protractor.
$\angle C$ = 57°