Which measurements could create more than one triangle? Choose one of the following and Explain how you found your answer

Question

A.
A triangle with sides measuring 6 inches, 8 inches, and 10 inches

B.
A triangle with sides measuring 5 cm and 10 cm and an included angle measuring 40°

C.
A triangle with angles measuring 75°, 60°, and 45°

D.
A triangle with sides measuring 4 inches, 8 inches, and 15 inches

Answer 1

D. A triangle with sides measuring 4 inches, 8 inches, and 15 inches. This is because the triangle inequality theorem states that the sum of any two sides of a triangle must be greater than the third side. Therefore, 4 + 8 > 15, 8 + 15 > 4, and 4 + 15 > 8, which means that this triangle can be constructed in more than one way.