Match the given conditions to the number of triangles that can be constructed from them. The lengths of the three sides are 4 ce
ntimeters, 2 centimeters, and 7 centimeters. The measures of two angles are 30° and 60° and the length of the included side is 12 inches. The measures of the three angles are 45°, 75°, and 60°. Number of Triangles Given Conditions 0 1 infinitely many
0 — The two shorter sides are not long enough to meet and form a triangle
1 — The two angles and the included side define a single triangle. The two angles define a single point at which their opposite sides will meet.
∞ — The three angles define the shape of the triangle but not its size. You can dilate the triangle to a larger or smaller size and still have the same angles.
