From [b]equilateral[/b] triangle, [math]\Delta ADB[/math], we can draw the [b]ALTITUDE[/b] (the "height") from [math]\angle A[/math] to the opposite side.[br][br]The altitude acts as an angle bisector of [math]\angle A[/math] and a perpendicular bisector of [math]DB[/math], so that two [b]SCALENE[/b] 30°-60°-90° triangles are formed. [br][br]Play around with the slider and record the different lengths of the sides on your reference sheet.[br][br]Is there anything special about the side lengths?

From [b]Square[/b], [math]ABCD[/math], we can draw the [b]DIAGONAL[/b] from [math]\angle A[/math] to [math]\angle C[/math].[br][br]The diagonal acts as an angle bisector of [math]\angle A[/math] and [math]\angle C[/math], so that two [b]ISOSCELES 45°-60°-90°[/b] triangles are formed. [br][br]Play around with the slider and record the different lengths of the sides on your reference sheet.[br][br]Is there anything special about the side lengths?