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The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c²The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5 The Pythagorean Theorem states that in a right triangle, the square of the hypotenuse (the longest side opposite the right angle) is equal to the sum of the squares of the other two sides, which can be written as the equation: a² + b² = c² where "c" represents the hypotenuse and "a" and "b" are the other two sides of the triangle. Key points about the Pythagorean Theorem: Applies only to right triangles: This theorem only works for triangles with a right angle (90 degrees). Hypotenuse is the longest side: The hypotenuse is always the longest side of a right triangle. How to use it: If you know the lengths of two sides of a right triangle, you can use this formula to calculate the length of the missing side. Example: Imagine a right triangle with one side measuring 3 units and the other side measuring 4 units. To find the length of the hypotenuse: Apply the formula: 3² + 4² = c² Calculate: 9 + 16 = c² Solve for c: c² = 25, so c = 5