Geometry · Foundation · 7 min
The area of a triangle
Two copies of a triangle can fill a parallelogram. That is where the one-half comes from.
WHAT HAPPENS IF…Slide the top vertex far to the right. Does the area change?
Triangle area6
Parallelogram area12
A parallelogram with horizontal base b and perpendicular height h has area bh. A diagonal splits it into two equal-area triangles. Sliding the top vertex sideways preserves both base and height.
A detail that matters
The slanted side is generally not the height.
Keep the connection going
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