Square Roots: Pythagoras Geometry The square on the hypotenuse of a right-angled triangle is equal to the sum of the squares on the other two sides. The square of a number is that number times itself. A square is expressed as, for example, 6 square, which means 6 x 6, or 6 squared. The square root of a number is the value that, multiplied by itself, equals that number. The square root of 36 is 6. This is expressed as √36 = 6. Not all square roots of numbers are whole numbers, like 6. Numbers that have a whole number as their square root are called perfect squares. Suppose we draw two intersecting lines, AB and AC at right angles to each other. If AB = 3 units and AC = 4 units, the triangle ABC is determined and the length of BC is fixed. So the length of AB (called the hypotenuse of the right-angled triangle ABC) must depend on the lengths of the other two sides. Q. What is the relation which connects the lengths of the three sides of a right-angled triangle? The relation, f...
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