Special Right Triangles Discovery
The Equilateral Triangle
From equilateral triangle, , we can draw the ALTITUDE (the "height") from to the opposite side.
The altitude acts as an angle bisector of and a perpendicular bisector of , so that two SCALENE 30°-60°-90° triangles are formed.
Play around with the slider and record the different lengths of the sides on your reference sheet.
Is there anything special about the side lengths?
The Square
From Square, , we can draw the DIAGONAL from to .
The diagonal acts as an angle bisector of and , so that two ISOSCELES 45°-60°-90° triangles are formed.
Play around with the slider and record the different lengths of the sides on your reference sheet.
Is there anything special about the side lengths?