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Pythagorean Theorem - Length of Hypotenuse - Labelled Sides (Equation) (Level 2)

This topic focuses on the application of the Pythagorean Theorem to find the length of the hypotenuse or a missing side of a right triangle. Each problem presents different sets of the two sides of the triangle, requiring the computation of the third side using the theorem \(a^2 + b^2 = c^2\). The students are tasked with solving expressions using squares and square roots to find the correct length of the missing side, in different variations, which supports strengthening their understanding and manipulation of algebraic equations related to geometric concepts.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Length of Hypotenuse - Labelled Sides (Equation)

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Find the length of the missing side as an equation based on the Pythagorean theorem: a² + b² = c²

c = ?b = 11a = 8