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Area of triangle in square

Area of triangle between the side of a square and its center from area

This math skill teaches how to calculate the area of a triangle formed by the side of a square and a line segment connecting the midpoint of the square's side to the center of the square. The skill involves using the properties of the square and the formula for the area of a triangle.

Learn area of triangle in square

Teaching Transcript

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What is the area of the triangle in this square of area 64?

The area of a square is just the square of its sides, so the square must have a side length of 8

If a full side is 8, the distance to the center is 4

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.

So, if we calculate, the area of the triangle is 6

Skill Practice

Area of triangle between the side of a square and its center from area

Test your understanding of area of triangle in square by practicing it! Work through the below exercises to use it in practice.