Standard Triangle Math
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Try this in the figure below drag the orange dots on each vertex to reshape the triangle.
Standard triangle math. Note how the angles remain the same and it maintains the same proportions between its sides. Ccss math content hsg srt d 9 derive the formula a 1 2 ab sin c for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side. But the three angles of a triangle add up to 180 degrees so if you only know that two of the three pairs of angles are congruent the third pair must be which means that you only need three pairs of sides and two pairs of angles. A triangle where the angles are 30 60 and 90.
This is one of the standard right triangles you should be able recognize on sight. One side of the angle is always fixed along the positive x axis that is going to the right along the axis in the 3 o clock direction line bc.
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