Construction of Triangles Equal in Area
Same base · Same parallels · New shape
Draw a line through a vertex parallel to the base
Construct an equal-area triangle with a given angle
Construct an equal-area triangle with a given side
Explain why the areas are equal
Area = \( \frac{1}{2} \times \text{base} \times \text{height} \)
Every point on a parallel line has the same height
Same base and height means same area
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