Question

To construct a triangle, apart from base, what else is required?

• A. One more side
• B. Difference between the other two angles.
• C. A base angle
• D. Sum of other two sides.

Answer 1

Answer: (C), (D)

The correct options are
C

A base angle

D

Sum of other two sides.

To construct a triangle, given its base, a base angle and sum of other two sides. i.e. following steps of construction are used.

1. Draw the base BC first making an angle at B, say XBC equal to the given angle.

2. Cut a line segment BD equal to sum of AB and AC from the ray BX.

3. Join DC and make an angle DCY equal to ∠BDC.

4. Let CY intersect BX at A

This will give you the required triangle.