Question

$△ABC$ is constructed such that
$AB=4cm$,
$AC=6cm,\text{and}$
$\angle B={70}^{\circ }$.
Then, the length of the third side is

• A. 3 cm
• B. 4 cm
• C. 6 cm
• D. 7 cm

Answer 1

The correct option is D 7 cm

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

Step 2:
Mark a ray making an angle 70${}^{\circ }$ at B.

Step 3:
Draw an arc of radius 6 cm with centre at A.

Step 4:
Mark the intersecting point as C.

Step 5:
Join CA to get the required $△$ABC


From the above construction, we see that the length of the third side is 7 cm.