Question

Which of the following criteria is/are required for the construction of an isosceles triangle ?

• A. Measurement of base angles and base side length
• B. Measurement of three sides out of which two are equal.
• C. Measurement of two sides and non included angle
• D. Measurement of one side and hypotenuse of a right angle triangle

Answer 1

Answer: (A), (B)

The correct options are
A Measurement of base angles and base side length
B Measurement of three sides out of which two are equal.

In an isosceles triangle, two of its side are equal and the angles opposite to equal sides are equal.
Hence, from the measurement of equal base angles and base length, an isosceles can be constructed.

Similarly, if two of the sides out of three measurements given are equal an isosceles triangle can be constructed.