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Name Class Date Practice 112 The Pythagorean Theorem Can you form a right triangle with the three lengths given? Show your work. 2. 7, 11, 12 3. 10, 2 !11, 12 4. 28, 45, 53 5. 9, !10, 10 6. 10, 15,
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People Also Ask about
What is a Pythagorean triple Grade 8?
A set of 3 positive numbers that satisfy the formula of the Pythagoras' theorem that is expressed as a 2 + b 2 = c 2 , where a, b, and c are positive integers, are called Pythagorean triples. Example: ( 3 , 4 , 5 ) is the first known, the smallest and the most popular example of Pythagorean triple.
What is the answer to the Pythagorean theorem?
For any right triangle, the sum of the squares of the legs of the triangle is equal to the square of the hypotenuse, that is, a2 + b2 = c2. This relationship is known as the PYTHAGOREAN THEOREM. In words, the theorem states that: (leg)2 + (leg)2 = (hypotenuse)2.
What is the Pythagorean theorem for Grade 8?
Pythagoras theorem states that “In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides“. The sides of this triangle have been named Perpendicular, Base and Hypotenuse. Here, the hypotenuse is the longest side, as it is opposite to the angle 90°.
What is Pythagoras theorem in simple words?
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
What is the Pythagorean theorem translated mathematically as a2 b2 c2?
Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.
What is the Pythagorean theorem for Grade 11?
In a right triangle, a 2 + b 2 = c 2, where a and b are the lengths of the legs and c is the length of the hypotenuse. This is called the Pythagorean theorem.
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