Trigonometry Assignment

Mathematics
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The length of the hypotenuse of a 45°-45°-90° triangle is 12 units. Find the exact value of the length of the leg

Oct 14th, 2014

This is an isosceles right-angled triangle

Let unknown equal sides be x and x 

Using Pythagoras x²  + x² = 12² 

                                2x²  = 144           

                                 x²   = 72

                                  x = √72    exactly

              or simplified x = 6√2

Oct 14th, 2014

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