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The Measurement Room2 min read

Area of a Triangle

The area of a triangle is ½ × base × height.

The height must be perpendicular — straight up from the base at 90°. It's not always the slanted side. Sometimes you have to draw a dotted line from the highest point straight down to the base.

Why ½? Because any triangle is exactly half of a rectangle with the same base and height. Cut a rectangle diagonally and you get two identical triangles.

Remember

A = ½bh. The "½" comes from the fact that a triangle is half a rectangle. If you forget the formula, draw the rectangle around it.

Real World

The triangular sails on sailing boats — to find how much fabric is needed, you calculate the area using ½ × base × height.

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