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Areas of Pythagorean squares on a triangle

Solve for the areas of Pythagorean squares on a triangle

This skill teaches how to calculate the areas of squares formed on each side of a right triangle, using the Pythagorean theorem, which states that the sum of the areas of the squares on the two legs equals the area of the square on the hypotenuse.

Learn areas of Pythagorean squares on a triangle

Teaching Transcript

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What does Pythagoras tell us about the relationship between these squares?

Square C is on the hypotenuse, so the area of 'A' plus the area of 'B' will add up to the area of 'C'

If we want to solve for either of the legs, we can subtract the area of the other square from the area of square 'C'

Skill Practice

Solve for the areas of Pythagorean squares on a triangle

Test your understanding of areas of Pythagorean squares on a triangle by practicing it! Work through the below exercises to use it in practice.