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3_6 notes - In a the sum of the squares of the of the legs...

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Ch 3 sec 6 Pages 141-147 Pythagorean Theorem Leg- in a right triangle, each of the two shorter sides. Hypotenuse- in a right triangle, the side the right angle Proof of the Pythagorean theorem- Exploration (page 141) 2.)Area of the Square = Triangle Area 1 2 3 4 Total 3.) Area of Central Square= Area of the Square –Sum of the area of the triangles Area of Central Square= - Area of Central Square= 5.) The Pythagorean theorem- The Pythagorean theorem is a well-known and important theorem. You can use it to find an unknown length of a right triangle whenever the other two side lengths are known.
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Unformatted text preview: In a , the sum of the squares of the of the legs is equal to the square of the length of the . Converse of the Pythagorean theorem The converse of the Pythagorean theorem is true. You can use it to determine if a triangle with given side lengths is a right triangle. If a , b , and c are the of the sides of a triangle, and , then the triangle is a right triangle. Squares and square roots Checking Key Concepts page 144. 1.) 2.) 3.) 4.) a 2 + b 2 = c 2 5.) 6.) a= b= c= a 2 + ( ) 2 = ( ) 2 7.) 8.) 9.)...
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