The following triple represents the side lengths of a triangle. Determine whether the triangle is a 45-45-90 triangle, a 30-60-90 triangle, or neither.

2, 1, 2squared3.

Answer Choices:

a.

45-45-90 triangle

c.

neither

b.

30-60-90 triangle

If the sides of the triangle have lengths of: 2, 1, and 2√3

Then, the triangle is a

c. neither a 45-45-90 triangle nor a 30-60-90 triangle.

Looking at the lengths, if the triangle is a right triangle

2 and 1 must be the measure of the legs

2√3, the measure of the hypotenuse

If we use the Pythagorean theorem,

2^2 + 1^2 = (2√3) ^2

5 = 12 (not correct)

Therefore, the triangle is not a right trangle