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Square Roots: Pythagoras// Geometry // EducatorSharmin

 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...

Fraction - Math// EducatorSharmin

 Fraction A fraction uses two numbers to represent part of a whole.  The bottom number, called the denominator, indicates how many parts are in the whole group or the number of parts into which one item is divided. The top number, called the numerator, indicates how many parts you are working with. What is a fraction? A fraction is part of one whole Two equal parts make a whole numerator: number of parts of the whole denominator: number of total parts Q. 1. There are 10 students who play soccer. Divide the group into two equal teams. How many players are on each team?  Answer: There are five (5) players in each team. Q. 2. Which of the following shapes have one half shaded?  Four equal parts make a whole Sarah ate a quater of the pie. How many pieces did she eat? Answer: Sarah ate one (1) piece of the pie  How many pieces of pie remain from the whole pie? There are 4 equal parts in this rectangle. Because 3 are shaded, we say that 3/4 of the rectangle is shaded....