Question

A triangle of sides AB = 3 cm, BC = 5 cm and AC = 6 cm is constructed. Then, the measure of angle A is

• A. 21${}^{\circ }$
• B. 38${}^{\circ }$
• C. 54${}^{\circ }$
• D. 64${}^{\circ }$

Answer 1

The correct option is C 54${}^{\circ }$

Let us construct the required triangle as follows:

Step 1:
Draw a line segment of AB of length 3 cm.

Step 2:
Draw an arc of 6 cm by taking A as centre.

Step 4:
Draw an arc of 5 cm by taking B as centre.

Step 3:
Mark the intersecting point as C.

Step 4:
Complete the triangle by drawing the lines between all three points, as shown below.

Now, by above construction we see that the measure of $\angle$A is 54${}^{\circ }$.