Tutoring Page     

  The workspace is below the calendar...

     Right Triangles:         5, 12, 13       3, 4,  5      8, 15, 17      7, 24, 25     

         Special Degree'd Rt. Triangles:    30-60-90     and     45-45-90

      Direct Variation      (y = kx)   "when x increases, y increases"

    Inverse Variation   (xy = k)   "when x increases, y decreases"

Workspace for whatever -->

 madmod 08/06-- 

 Using the right triangle triples posted above the calendar, be able to work the 3rd side given the first two--without calculation.  (one of the reasons

 for knowing perfect squares through 25 or 26) 

 For Example:  A right triangle has it hypotenuse 26 and one leg is 24.  What's the length of the other leg.

 Solution:  Let's see... 26 and 24 divided by two gives 13 and 12.  5, 12, 13 rt. triangle!  So doubling makes it 10, 24, 26.  The answer is 10.

 Bad Long Solution:  Let the 3rd side be x, then x^2 + 24^2 = 26^2.  Then x^2 + 576 = 676.  (note: really long to multiply out the squares)

      X^2 = 676 - 576 = 100, X = +- 10.  Pick 10.  This solution takes too much time!

 Here's one for you to try:  A rt. triangle has its hypotenuse 50 and one leg 30.  What's the length of the other leg?  (15 seconds to answer...)

 --madmod