Area Math Example 2

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Example 2

medium
Find the area of a triangle with base 1010 cm and height 66 cm.

Solution

  1. 1
    For a triangle, the area equals half the base times the perpendicular height: A=12bhA = \frac{1}{2}bh. The height must be perpendicular to the chosen base.
  2. 2
    Substitute the given values โ€” base b=10b = 10 cm, height h=6h = 6 cm: A=12(10)(6)A = \frac{1}{2}(10)(6).
  3. 3
    Compute: A=602=30A = \frac{60}{2} = 30 cmยฒ. The triangle has exactly half the area of the 10ร—610 \times 6 rectangle that encloses it.

Answer

A=30ย cm2A = 30 \text{ cm}^2
A triangle's area is half the product of its base and height. This works because any triangle is exactly half of the parallelogram formed by the same base and height.

About Area

The amount of two-dimensional space inside a flat shape, measured in square units.

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