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How to Find the Area of a Triangle Without Any Angles

Triangles come in many shapes and sizes. Different categories of triangles, based on lengths of their sides and the measurements of their angles, include equilateral, isosceles, right, right isosceles, acute and obtuse. Not knowing what kinds of internal angle measurements a triangle has can limit how you can classify it, but this lack of knowledge doesn't affect calculations like area. Finding the area of a triangle without any known angles can be accomplished through the equation A = 1/2 of BxH, with "A" representing the area, "B" representing the measurement of the base of the triangle and "H" representing the measurement of the height of the triangle, with the area being measured in square units since they denote measurements of two dimensions.

Things You'll Need

  • Ruler
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Instructions

    • 1

      Measure the perpendicular distance between one of the triangle's corners, also known as a vertex, and one of the triangle's sides. This measurement is the triangle's height. In this example, allow the height to be 10 inches.

    • 2

      Measure the length of the side in which the perpendicular line segment intersects. This measurement is the triangle's base. In this example, the base measurement equals six inches.

    • 3

      Multiply the height and base measurements together, then divided that product by 2. Concluding this example, multiplying six inches by 10 inches equals 60 square inches. Dividing 60 inches squared by 2 equals 30 square inches. The area of the example triangle is 30 square inches.

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