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" And conversely, if the square on one side of a triangle is equal to the Bum of the squares on the other two sides, the angle contained by these two sides is a right angle. "
Elementary Synthetic Geometry of the Point, Line and Circle in the Plane - Page 122
by Nathan Fellowes Dupuis - 1894 - 294 pages
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The Dublin University Calendar, Volume 1

Trinity College (Dublin, Ireland) - 1915 - 562 pages
...Prove that if the angles at the base of a triangle are equal the triangle is isosceles. 2. Prove that if the square on one side of a triangle is equal to the sum of the squares on the other two the triangle is right-angled. '3. Prove that the square on the side of...
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General Mathematics: Revision and Practice

David Rayner - Juvenile Nonfiction - 1988 - 322 pages
...1 to 10, find x. All the lengths are in cm. 2. 4 cm 7cm 3. = 49 - 16 4. The converse is also true: 'If the square on one side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is right-angled.' 5. 7. 8. 11. -Find the length...
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New National Curriculum Mathematics: With exam questions, Volume 7

K. M. Vickers, H. L. Van Hiele, M. J. Tipler - Juvenile Nonfiction - 1997 - 518 pages
...find whether or not the triangle is a right-angled triangle. The converse of Pythagoras' Theorem is "if the square on one side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is a right-angled triangle." Worked Example (a)...
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Core Mathematics for IGCSE

David Rayner - Mathematics - 2000 - 354 pages
...hypotenuse is equal to the sum of the squares on the other two sides. j + b2 = c2 The converse is also true: ,If the square on one side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is right.angled., Find the side marked d 4cm...
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Euclidean Geometry and Transformations

Clayton W. Dodge - Mathematics - 2004 - 310 pages
...right triangle the square on the hypotenuse is equal to the sum of the squares on the legs. 48. lf the square on one side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is a right triangle with the right angle opposite...
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Indian Navy

314 pages
...the hypotenuse is equal to the sum of the squares on the other two sides • B BC2 = AB2 + AC2 (ix) If the square on one side of a triangle is equal to the sum of the squares on the other two sides, then the triangle is a right angle triangle. Exercise Problems...
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NDA (National Defence Academy Examination)

934 pages
...angled triangle, the square of hypotenuse is equal to the sum of the squares of the other two sides. If the square on one side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right angled triangle. 2.2 Area Properties:...
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School Certificate Mathematics

Mathematics - 1965 - 232 pages
...can be proved directly by applying Theorem 43 (6). See p. 194. 40 Theorems. (Converse of Pythagoras' Theorem.) If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by these sides is a right angle. 90 Given....
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Cambridge Intermediate Mathematics, Part 2

Herbert James Larcombe - 1928 - 272 pages
...the hypotenuse is equal to the sum of the squares on the other two sides. The converse is also true: If the square on one side of a triangle is equal to the sum of the squares on the other two sides, the angle contained by those sides is a right angle. 112. Worked...
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Minutes of the Committee of Council on Education, Volume 2

Great Britain. Committee on Education - School buildings - 1850 - 904 pages
...similar figures.' Prove that parallelograms on the same base and between the same parallel! an equal. The square on one side of a triangle is equal to the squares on the other two sides, what kind of a triangle is it ? Prove your assertion. Prove that equal...
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