Question

$△$PQR is drawn with the length of side QR being 4 cm. If $\angle$Q is 35${}^{\circ }$ and $\angle$R is 70${}^{\circ }$, then, the length of the side PR is

• A. 4 cm
• B. 3.6 cm
• C. 2.9 cm
• D. 2.4 cm

Answer 1

The correct option is D

2.4 cm

Steps of construction of $△$PQR:

Step 1:
Draw the base line QR of the length 4 cm.

Step 2:
Measure the angle Q with your protractor. Make a mark at 35 degrees and draw a line from Q passing through the mark.

Step 3:
Measure the angle R with your protractor. Make a mark at 70 degrees and draw a line from R passing through the mark.

Step 4:
Name the point of intersection of these two lines as P and the $△$PQR is complete, as shown below.

Now, from the above construction we see that the length of the side PR is 2.4 cm