Math notes Pythagorean Theorem, Squares and Square Roots Key vocabulary: Square number Hypotenuse Perfect square Pythagorean theorem Square root Pythagorean triple Leg (of a right triangle) What do you need to know: The side length and area of a square: (but in a square they are the same so: ) This means that the side length of a square is the square root of its area Know these perfect squares: =9 = 5 =144 = 6 49 = 7 196 = 14 = 6 The Approximate square root of a number: How do we estimate roots that are not perfect squares? what about: The roots must be between 3 and 4! We can also use a number line in order to estimate the root so must be between 1 and 2 but closer to one so I put it on the number line: Using the Pythagorean Theorem If we draw a square on each of the legs of the right triangle their total area is equal to the area of a triangle written on the hypotenuse
Math notes Pythagorean Theorem, Squares and Square Roots Key vocabulary: Square number Perfect square Square root Leg (of a right triangle) Hypotenuse Pythagorean theorem Pythagorean triple What do you need to know: The side length and area of a square: (but in a square they are the same so: ) This means that the side length of a square is the square root of its area Know these perfect squares: =9 = 5 =144 = 6 49 = 7 196 = 14 = 6 The Approximate square root of a number: How do we estimate roots that are not perfect squares? what about: The roots must be between 3 and 4! We can also use a number line in order to estimate the root so must be between 1 and 2 but closer to one so I put it on the number line: Using the Pythagorean Theorem If we draw a square on each of the legs of the right triangle their total area is equal to the area of a triangle written on the hypotenuse