Pythagorean Theorem And Its Converse Worksheet The Pythagorean Theorem and Its Converse Converse of the Pythagorean TheoremIf the sum of the squares of the measures of the two shorter sides of a triangle equals the square of the measure of the longest side then the triangle is a right triangle If the three whole numbers a b and c satisfy the equation a2 2b c2 then the numbers a b and
1 The Pythagorean Theorem The well known right triangle relationship called the Pythagorean Theorem is named for Pythagoras a Greek mathematician who lived in the sixth century B C We now know that the Babylonians Egyptians and Chinese were aware of this relationship before its discovery by Pythagoras Unit test Test your understanding of Pythagorean theorem with these num s questions The Pythagorean theorem describes a special relationship between the sides of a right triangle Even the ancients knew of this relationship In this topic we ll figure out how to use the Pythagorean theorem and prove why it works
Pythagorean Theorem And Its Converse Worksheet
Pythagorean Theorem And Its Converse Worksheet
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The Converse of the Pythagorean Theorem The Pythagorean Theorem can be used to determine whether a triangle is right acute or obtuse Think of the long side as c and the two shorter sides as a and b If b2 then it is a right triangle 25 16 If b2 then it is an acute triangle 36 16 25 If b2 then it is an obtuse triangle 16 9 4 About Transcript The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle In a right triangle with sides A B and hypotenuse C the theorem states that A B C The hypotenuse is the longest side opposite the right angle Created by Sal Khan
When carpenters want to construct a guaranteed right angle they can make a triangle with sides 3 4 and 5 units By the Pythagorean Theorem a triangle made with these side lengths is always a right triangle because 3 2 4 2 5 2 If you want to find out the distance between two places but you only have their coordinates or how many blocks apart they are the Pythagorean Theorem The converse of the Pythagorean theorem tells us that if then the triangle has a right angle A corollary of this result is that if the triangle does not have a right angle From the diagram the given triangle has side lengths of 13 cm 12 cm and 5 cm so the longest side has length 1 3 c m
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Converse Give children access to our pdf converse of the Pythagorean theorem worksheets so they develop proficiency in finding whether a triangle with the three side dimensions given is a right triangle or not Guide the enthusiastic minds to apply the Pythagorean theorem and determine whether the given triangle is a right triangle 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
Pythagorean Theorem and its Converse 1 4 Find the value of x Leave answer is simplest radical form 5 10 The numbers represent the lengths of the sides of a triangle Classify each triangle as acute obtuse or right 5 6 9 10 7 30 34 16 8 2 5 6 Converse of the Pythagorean Theorem to make sure that the corners of a garden bed form right angles In the photograph a triangle with side lengths 3 feet 4 feet and 5 feet ensures that the angle at one corner is a right angle 200 Chapter 4 Triangle Relationships Goal Use the Converse of Pythagorean Theorem Use side lengths to classify
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Pythagorean Theorem And Its Converse Worksheet - About Transcript The Pythagorean theorem is a cornerstone of math that helps us find the missing side length of a right triangle In a right triangle with sides A B and hypotenuse C the theorem states that A B C The hypotenuse is the longest side opposite the right angle Created by Sal Khan