In equation \(a^2 b^2 = c^2\) is the hypotenuse, “b” is the adjacent side and “a” is the side opposite to angle A. This relationship is useful, if two sides of a right angle triangle is given and third one is required, the Pythagorean Theorem can be used to determine the length of the third side. \(a^2 b^2 = c^2\) is known as the Pythagoras equation, named after the ancient Greek mathematician Pythagoras. Therefore In short we can conclude the meaning of squaring in simple wording the “square” means to calculate the value of a number multiplied by itself. Multiply a number by itself is called “squaring”, the number squaring a number is the same as raising that number to the power of two. The square of a number is the product of itself. In mathematics, the square symbol (▢)2 is an arithmetic operation that signifies multiplying a number. The square of a number is the equivalent of a number multiplied by itself.įor example: The square of 3 is 9, because 3 ✕ 3 = 9. What does squared mean? What is 13 squared? So, (4, 9, 12) is not a Pythagorean Triplet. So, (3, 4, 5) is the Pythagorean Triplet. Since, the sum of the square of smaller numbers is equal to the square of the largest number. Identify which of the following are Pythagorean Triplet 1- (3, 5, 4) She is 31.62 miles away from the started point.Įxample 5: Find the height of an equilateral triangle whose sides are 7cm long.Īccording to Pythagoras Theorem: \((Hyp)^2 = (Perpendicular)^2 (Base)^2\) \((\bar = c = x\) miles is unknown and according to given scenario, it is the hypotenuse. Hence, According to above mentioned figure. The side opposite to right angle is known as hypotenuse.Ī squared plus B squared equal to C squared, according to Pythagoras Theorem, the sum of the square of two sides i-e perpendicular and base is equal to the square of the hypotenuse. The side adjacent to angle under consideration is known as base. Here, the side opposite to angle consideration is known as perpendicular. \(AC^2 = AB^2 BC^2\) Proved! A square plus b square equal c squareĬonsider the above mentioned triangle as it the right-angle triangle. Since, side of similar triangles are in the same ratio. \(a^2 b^2 = c^2\) Proved! Pythagoras formula It is pretty similar to the \((a b)^2\)Īrea of outer square: side ✕ side = (a b)(a b) = \((a b)^2\) \((Hyp)^2 = Sum of squares of other two sides\)Īccording to given figure, its exact pattern is like this, \((Hyp)^2 = (Perpendicular)^2 (Base)^2\)Īs Hyp = c, Perpendicular = a, and Base = b. In a right angle triangle hypotenuse has a special relation with rest of the other two sides. It is the most important concept not only in mathematic but also it has a great influence on entire science. The hypotenuse is the largest side and it is opposite to the right angle. The sides of the right angle have been named as perpendicular, base and hypotenuse. Pythagoras Theorem states that in a right angled triangle, the square of the hypotenuse is equal to the sum of the squares of the remaining two sides. Pythagoras Theorem explains the relationship between base, perpendicular and hypotenuse of a right angled triangle (⊿). What does squared mean? What is 13 squared?.Identify which of the following are Pythagorean Triplet.Proof solver (solving for “a” or “b”) by Pythagoras theorem.
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