The diagram illustrates why the sum of the lengths of any two (2) sides of a triangle cannot be less than the length of the third (3) side of the triangle: B. by showing the two sides with lengths 4 and 3 can never meet to form a vertex.
What is a triangle?
A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.
The types of triangle.
Generally, there are three (3) main types of triangle based on the length of their sides and these include the following;
- Equilateral triangle
- Isosceles triangle
- Scalene triangle
What is the Triangle Inequality Theorem?
The Triangle Inequality Theorem can be defined as a theorem which states that the sum of any two (2) side lengths of a triangle must be greater than the measure of the third (2) side. This ultimately implies that, the sum of the lengths of any two (2) sides of a triangle cannot be less than the length of the third (3) side of the triangle in accordance with the Triangle Inequality Theorem.
By applying the Triangle Inequality Theorem to this diagram (see attachment), we have:
Read more on Triangle Inequality Theorem here: https://brainly.com/question/26037134
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