pythagorean theorem converse worksheet answers Determine whether each set of numbers can be measure of the sides of a triangle If so classify the triangle as acute obtuse or right Justify your answer 11 10 11 20 12 12 14 49 yes obtuse triangle no 12 14 49 2 2 10 11
Geometry Worksheet 7 2 Converse of the Pythagorean Theorem 1 Write the Pythagorean Theorem Name Extension of the Pythagorean Theorem 2 If the triangle is acute then c2 a2 b2 3 If the triangle is obtuse then c2 a2 b2 Are the triangles below right triangles If not what kind of triangles are Prove the Pythagorean Theorem With altitude CD each leg a and b is a geometric mean between hypotenuse c and the segment of the hypotenuse adjacent to that leg a c 2 a y and b c 2 b x so a cy and b cx Add the two equations and substitute c y x to get a 2 b cy cx c y x c2 c y x a b h AC D B c a b AC B a Find a a 2 b c2 Pythagorean
pythagorean theorem converse worksheet answers
pythagorean theorem converse worksheet answers
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Pythagorean Theorem Quiz Printable Printable Word Searches
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Free Printable Pythagorean Theorem Worksheets Free Printable
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Prove the Pythagorean Theorem With altitude C D each leg a and b is a geometric mean between hypotenuse c and the segment of the hypotenuse adjacent to that leg a c a y and b c b x so a2 cy and b2 cx Add the two equations and substitute c y x to get a 2 b2 cy cx c y x c c y x a b h AC D B c a b AC B a If the sum of the squares of the shorter are larger than square of the hypotenuse than you have an acute triangle If the opposite is true you have an obtuse triangle These worksheets will help you test the use of the converse of the Pythagorean Theorem in a variety of situations
Grab our converse of the Pythagorean theorem worksheets and practice accuracy and ease identifying whether a triangle is a right triangle or not Converse of the Pythagorean Theorem Liveworksheets transforms your traditional printable worksheets into self correcting interactive exercises that the students can do online and send to the teacher Skip to main content
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The Pythagorean Theorem and Its Converse Find the missing side of each triangle Round your answers to the nearest tenth if necessary Find the missing side of each triangle Leave your answers in simplest radical form Find the missing side of each right triangle Side c is the hypotenuse Key Words gardener can use the 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
These worksheets provide a variety of problems and exercises that focus on the converse of the Pythagorean theorem allowing students to practice and develop their understanding of this fundamental concept How to use the converse of the Pythagorean Theorem Proof of the Converse of the Pythagorean Theorem how to use the converse to determine whether a triangle is acute right or obtuse examples and step by step solutions
Mrs E Teaches Math High School Math Activities Teaching Geometry
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Pythagoras Theorem Worksheet Pdf Business Mentor
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pythagorean theorem converse worksheet answers - 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 2 3 mi 4 mi x 3 11 9 km x 14 7 km 4 6 3 mi x 15 4 mi Find the missing side of each triangle Leave your answers in simplest radical form 5 x 13 yd 15 yd 6 8 km x