Question

Do the given conditions determine one unique triangle, many similar triangles, many nonidentical triangles or no triangle?

72°,34°,74°

Answer 1

The given angles, 72°, 34°, and 74°, sum up to 180°, thus forming one unique triangle, according to the triangle angle sum property.

Step-by-step explanation:

The conditions given are the angles of a triangle: 72°, 34°, and 74°. To determine if these angles can form a triangle, we need to check if the sum of the angles equals 180°, which is a fundamental property of triangles. Adding the given angles, we have 72° + 34° + 74° = 180°. Since the sum equals 180 degrees, the conditions determine one unique triangle.

The given conditions determine one unique triangle. This is because the sum of the angles in a triangle is always 180 degrees. The given angles of 72°, 34°, and 74° add up to 180°, so a triangle can be formed.