This math skill teaches how to calculate the area of a triangle formed by the side of a square and its center, utilizing the square’s perimeter. It involves converting the square's perimeter to its side length, then using half the side as the triangle’s base and its height, as the sides are perpendicular.
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Area of triangle between the side of a square and its center from perimeter
Test your understanding of area of triangle in square from perimeter by practicing it! Work through the below exercises to use it in practice.
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What is the area of the triangle in this square with a perimeter of 40?
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The perimeter of a square is 4 times the length of a side, so the square must have a side length of 10
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If a full side is 10, the distance to the center is 5
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The area of a triangle is half base times height. The base and height need to be perpendicular, and the sides of a square are perpendicular, so we can take the base length, and the height to the center.
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So, if we calculate, the area of the triangle is 7.5