Question

Which of the following figures show the correct method to construct a triangle if we know its base, a base angle and sum of other two sides?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

The correct procedure to construct the given triangle is:
1. Draw the base BC of $\Delta$ ABC as given and construct $\angle$ XBC of the required measure at B as shown.

2. Keeping the compass at point B cut an arc from the ray BX such that its length equals to AB + AC at point P and join it to C as shown.

3. Now measure $\angle$BPC and from C draw an angle equal to $\angle$BPC as shown.


Thus, option A is correct.