Your ability to divide a triangle into right triangles, or recognize an existing right triangle, is your key to finding the measure of height for the original triangle. Each line segment showing the height from each side also divides the equilateral triangle into two right triangles. Our bright little △ S U N has one side labelled 24 c m, so all three sides are 24 c m. If a side is labelled, you know its length.
That will only happen in an equilateral triangle.īy definition of an equilateral triangle, you already know all three sides are congruent and all three angles are 60 °. In an equilateral triangle, like △ S U N below, each height is the line segment that splits a side in half and is also an angle bisector of the opposite angle. A triangle's height is the length of a perpendicular line segment originating on a side and intersecting the opposite angle. Every triangle has three heights, or altitudes, because every triangle has three sides.
0 kommentar(er)
