Respuesta :
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.
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.
