The student will a) verify the Pythagorean Theorem; and b) apply the Pythagorean Theorem.
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The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to
The Pythagorean Theorem is essential for solving problems involving right triangles.
The relationship between the sides and angles of right triangles are useful in many applied fields.
In a right triangle, the square of the length of the hypotenuse equals the sum of the squares of the legs. This relationship is known as the Pythagorean Theorem: 𝑎² + 𝑏² = 𝑐². [Graphic cannot be reproduced.]
The Pythagorean Theorem is used to determine the measure of any one of the three sides of a right triangle if the measures of the other two sides are known.