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Calculating the area of a leaning triangle

Calculating the area of a leaning triangle. Calculating Area

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Page 1: Calculating the area of a leaning triangle. Calculating Area

Calculating the area of a leaning triangle

Page 2: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

Page 3: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

Draw a rectangle (or square) around the triangle

The area of this rectangle = 1 squareThe triangle is ½ of the rectangle so its area = ½ square

Area of triangle = ½ square

Page 4: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

What about this triangle?

Page 5: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

Draw a rectangle around the triangle

The area of this rectangle = 2 squares

Page 6: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

The area of the triangle can be calculated by taking away the area of the 2 white triangles

Page 7: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

The area of the first white triangle = ½ square

Page 8: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

The area of the second white triangle is ½ of the surrounding rectangle

Page 9: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

The area of the surrounding rectangle = 2 squaresSo the area of the second white triangle = 1 square

Page 10: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

So the area of the triangle = 2 - ½ - 1 = ½ square

Area of triangle = ½ square

Page 11: Calculating the area of a leaning triangle. Calculating Area

Calculating Area

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