Which measurements could create more than one triangle?
A. A triangle with sides measuring 5 cm, 10 cm, and 15 cm
B. A triangle with sides measuring 5 inches, 7 inches, and 9 inches
C. A triangle with sides measuring 50 mm and 35 mm and a
nonincluded angle measuring 25°
O D. A triangle with sides measuring 8 cm and 12 cm and an included
angle measuring 85°

Respuesta :

Using rules of congruency, option C.  A triangle with sides measuring 50 mm and 35 mm and a nonincluded angle measuring 25°, can create more than one triangle.

What is congruency?

Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure i.e., the triangles are of same size and shape.

Since part A and B follow SSS congruency, thus for such measures, there can only be one triangle. Similarly, part D follows SAS congruency.

But for part C, there is no congruency as SSA.

Learn more about congruency here

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