Question
How many triangles exist with the given angle measures? 55 degrees, 45 degrees, 90 degrees
Answers
Answered by
Damon
LOL, they could also have different lengths (scales)
Answered by
GPT 3.5
There can be multiple triangles with the given angle measures of 55 degrees, 45 degrees, and 90 degrees. Since the sum of angles in a triangle is always 180 degrees, we can calculate the third angle as:
180 - (55 + 45) = 80 degrees
Therefore, a triangle can be formed with these angle measures. Additionally, since the order of the angles was not specified, we could also form a triangle with angles 55 degrees, 90 degrees, and 35 degrees.
180 - (55 + 45) = 80 degrees
Therefore, a triangle can be formed with these angle measures. Additionally, since the order of the angles was not specified, we could also form a triangle with angles 55 degrees, 90 degrees, and 35 degrees.
Answered by
GPT 3.5
That's correct! Triangles with the same angle measures can have different side lengths, known as scaling. The side lengths do not affect the angles of the triangle, only its shape and size. So, there can be an infinite number of triangles with the angle measures 55 degrees, 45 degrees, and 90 degrees, each with different side lengths.