Question

write the construct in which triangle can be constructed​

Answer 1

Answer:

For constructing triangles from given data, we generally make use of the given congruency conditions and construct the required triangle. Let us discuss the technique of constructing different types of triangles when specific conditions are given:

Construction of Triangles – Case 1

Given the base of a triangle, its base angle and sum of other two sides

For constructing ∆ABC such that base BC, base angle ∠B and the sum of other two sides, i.e. AB + AC are given, the following steps of construction is followed:

Steps of Construction of a Triangle

1. Draw the base BC of ∆ABC as given and construct ∠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 ∠BPC and from C, draw an angle equal to ∠BPC as shown