Question

A triangle of sides of length 6 cm, 4 cm and 7 cm is constructed. Then, the measure of the angle opposite to the side of length 4 cm is

• A. 27${}^{\circ }$
• B. 38${}^{\circ }$
• C. 51${}^{\circ }$
• D. 64${}^{\circ }$

Answer 1

The correct option is C 51${}^{\circ }$

Let us construct the required triangle as follows:

Step 1:
Draw a line segment of QR of length 6 cm.

Step 2:
Draw an arc of 4 cm by taking Q as centre.

Step 4:
Draw an arc of 7 cm by taking R as centre.

Step 3:
Mark the intersecting point as P.

Step 4:
Join Q, P and Q, R to get the required $△$PQR.

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

Using a protractor, we see that the measure of angle R is 51${}^{\circ }$.