Question

$△$ABC is drawn with the length of side AB being 7 cm. If $\angle$A is 63${}^{\circ }$ and $\angle$C is 57${}^{\circ }$, then, which of the following should be the starting step for drawing this triangle ABC.

• A. Calculate value of angle B
• B. Mark 63 degrees at point A
• C. Mark 57 degree at point C
• D. Draw a line segment AC of 7 cm

Answer 1

The correct option is A Calculate value of angle B

Here, we are given the measures $\angle$A and $\angle$C and one side.

To construct a triangle from these measurement we should have the measurement of angles associated with the included side.

Here we should know the value of angle B, as angle A and the included side is already given.

Hence, the first step for construction of this triangle should be the calculation of angle B from angle sum property and then following the steps of construction steps of triangle from two angles and included sides.