Final answer:
In an isosceles triangle, the base is smaller than the sum of the two legs. This relationship complies with the triangle inequality theorem, which is true for all triangles. The correct answer is B.
Step-by-step explanation:
In an isosceles triangle, there is a specific relationship that holds true regarding the base and the two legs. By definition, an isosceles triangle is a triangle with two sides of equal length, which are typically referred to as the legs, and a third side that is the base. While the Pythagorean theorem, represented as a² + b² = c², is often used to relate the sides of a right triangle, it can also provide insight into the relationship between the base and the legs in the special case where the isosceles triangle is also a right triangle.
The correct relationship between the base and the legs of a general isosceles triangle is that the base is smaller than the sum of the legs (option B). In any triangle, the sum of the lengths of any two sides must be greater than the length of the remaining side. As such, in an isosceles triangle, the sum of the two equal legs is greater than the base. This relationship is a consequence of the triangle inequality theorem, which applies to all triangles, not just isosceles ones.