Presentation on theme: "30-60-90 Right Triangles Consider the following equilateral triangle, with each side having a value of 2. Drop a perpendicular segment from the top vertex."— Presentation transcript:
1Right TrianglesConsider the following equilateral triangle, with each side having a value of 2.Drop a perpendicular segment from the top vertex to the base side.The base side has been bisected into two segments of length 1.
2Since the original triangle was equilateral, the base angles are 60° each. Since the angle at the top of the triangle has been bisected, the original 60° angle has been split into new angles that are 30° each.
3Consider the new triangle formed on the left side. This is a right triangle.We have just proven that in a triangle the short leg (always opposite the 30° angle) is always half the length of the hypotenuse.