Which measurement could create more than one triangle A triangle with sides measuring 20 cm, 9 cm, and 10 cm A triangle with sides measuring 10 cm and 20 cm and an included angle measuring 65° A triangle with sides measuring 15 inches, 20 inches, and 25 inches A right triangle with acute angles measuring 45° and 45°

(D)A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

The triangles created by the measurements in Options A, B and C have specified lengths of the sides. Therefore, not more than one triangle can be created.

However, for a triangle with acute angles measuring 45° and 45°, an uncountable number of similar triangles (triangles with same shape but different sizes) can be created.

The correct option is D.

A right triangle with acute angles measuring 45° and 45°

Step-by-step explanation:

We are concerned with either increasing or decreasing the length of the sides of each triangle in order create more than one triangle. The triangles with all 3 sides given cannot be altered. It means that more triangles cannot be created. This also applies to the triangle with an included angle measuring 65°. Considering the right triangle with acute angles measuring 45° and 45°, only the 3 angles are known. This means that any length can be measured with the angles kept constant. Therefore, smaller and bigger right angle triangles with the same angles can be created.

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x = 3 ± √(5+y)