Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
THE PYTHAGOREAN THEOREM 2 2 2 A +B =C THE PYTHAGOREAN THEOREM PARTS OF A RIGHT TRIANGLE LEG A HYPOTENUSE LEG B THE PYTHAGOREAN THEOREM SIDES SIDES DIAGONALS PARTS OF A RECTANGLE OR SQUARE NOTICE TWO RIGHT TRIANGLES FORM A RECTANGLE THE PYTHAGOREAN THEOREM A RIGHT TRIANGLE HAS ONE ANGLE THAT MEASURES 90 DEGREES. A RECTANGLE AND Square Have four sides that all Meet at a 90 degree angle. THE PYTHAGOREAN THEOREM Categorized by angles RIGHT ACUTE OBTUSE A triangle with one right angle All angles less than 90 One angle more than 90 THE PYTHAGOREAN THEOREM Categorized by sides EQUILATERAL ISOSCELES SCALENE All sides equal (congruent) Two sides equal (congruent) No congruent sides THE PYTHAGOREAN THEOREM NOW FOR THE GOOD STUFF THE PYTHAGOREAN THEOREM STATES THAT THE SQUARE OF THE LONGEST SIDE OF A RIGHT TRIANGLE (HYPOTENUSE) IS EQUAL TO THE SQUARES OF THE OTHER TWO SIDES. A2 + B2 = C2 THE PYTHAGOREAN THEOREM Click to play animation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s this a right Triangle? 65 3. 56 7 5. 25 4. 24 no THE PYTHAGOREAN THEOREM A2 + B2 = C2 NOW PROCEED TO WORKSHEET AND THEN LESSON ASSESSMENT