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The Pythagorean Theorem Date Period Do the following lengths form a right triangle 1 6 8 9 No 2 5 12 13 Yes 3 6 8 10 Yes 4 3 4 5 Yes Create your own worksheets like this one with Infinite Pre Algebra Free trial available at KutaSoftware Title Pythagorean Theorem

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Question 2 Shown is a square with side length 5cm Find the length of the diagonal x Question 3 Shown is a right angle triangle Calculate the perimeter of the triangle the area of the triangle Question 4 A rectangle is 20cm long and 8cm wide Find the length of the diagonal of the rectangle Question 5 An airplane is Ylying from

The Pythagorean Theorem and Its Converse Date Period Find the missing side of each triangle Round your answers to the nearest tenth if necessary 1 x 12 in 13 in 5 in 2 3 mi 4 mi x 5 mi 3 11 9 km x 14 7 km 8 6 km 4 6 3 mi x 15 4 mi 14 1 mi Find the missing side of each triangle Leave your answers in simplest radical form 5 x

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7 1 Introduction The Theorem of Pythagoras is a well known theorem It is also a very old one not only does it bear the name of Pythagoras an ancient Greek but it was also known to the ancient Babylonians and to the ancient Egyptians Most school students learn of it as a2 b2 c2

Use the Pythagorean Theorem to test the triangles shown or described in each problem below Is it a right triangle 2 4 6 1 3 5 5 5 4 4 4 41 3 13 32 If a triangle has sides that are 12 10 and 6 meters long is it a right triangle Is a triangle with side lengths of 4 5 and 6 inches a right triangle A triangle has side lengths

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