Area of a triangle is understood as half the product of a chosen base and its corresponding perpendicular height, , with results expressed in square units. The base and height may be represented in different orientations, including for right, acute, and obtuse triangles; the height is not generally a slanted side, and methods requiring trigonometry, Heron’s formula, or other advanced cases are not included.
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To find the area of a triangle, use:
Here:
Example: A triangle has a base of and a perpendicular height of . Find its area.
Identify the base and height:
Substitute into the formula:
Multiply:
Write the answer in square units:
The area of the triangle is .
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