Question

A triangle of sides of length 4 cm, 6 cm and 8 cm is constructed. Then, the measure of the angle opposite to the side of length 4 cm is

• A. 29${}^{\circ }$
• B. 15${}^{\circ }$
• C. 40${}^{\circ }$
• D. 53${}^{\circ }$

Answer 1

The correct option is A 29${}^{\circ }$

Let us construct the required triangle as follows:

Step 1:
Draw a line segment of AB of length 4 cm.

Step 2:
Draw an arc of 8 cm by taking B as centre.

Step 4:
Draw an arc of 6 cm by taking A as centre.

Step 3:
Mark the intersecting point as C.

Step 4:
Join A, C and B, C to get the required $△$ABC.

Now, by above construction we see that the angle opposite to the side of length 4 cm is $\angle$C.

Using a protractor, we see that the measure of angle C is 29${}^{\circ }$.