Question

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°

Answer 1

Answer: 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.

Answer 2

Answer:

(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.