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:
1 Right 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.
2 Since 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.
3 Consider 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.