Question

The________ criterion is used to construct a triangle when the lengths of the three sides are given.
A. SAS
B. SSS
C. RHS
D. ASA

Answer 1

Hint: Question is based on the property of the triangle we used to construct a triangle. According to the requirement of construction of a triangle, there are some basic requirements to construct a triangle, based on these requirements we had named it as a criteria. They are named accordingly. As there are four types of criteria to construct the triangle that are side-angle-side abbreviated it as SAS, side-side-side abbreviated as SSS, angle-side-angle abbreviated it as SAS and right-angle-triangle abbreviated it as RHS.

Complete step by step answer:
Moving ahead with the question, as we need to know the meaning of these criteria and understand them to answer the question easily.
As ASA means we need to know the value of two angles and one side, as the side should be in the middle of these two angles.
SSS means we need to know the three sides of a triangle in order to construct it.
SAS means we need to know two adjacent sides with one angle between them, in order to construct the triangle.
RHS means we need to know the one angle which is ${{90}^{\circ }}$ and the value of any two sides.
From the above explanation we can easily say that the SSS criteria deals with the construction of a triangle if we know the three sides of the triangle.

So, the correct answer is “Option B”.

Note: In order to answer the criteria of construction of a triangle first we should know about these criteria, which I mentioned in the explanation. Moreover this construction of a triangle we do with the help of a compass and ruler.