document.write( "Question 141962: Find the length of the legs of a 45°-45°-90° triangle with a hypotenuse of 4 times the square root of 2 \n" ); document.write( "
| Algebra.Com's Answer #103387 by jojo14344(1513)      You can put this solution on YOUR website! well, I guess since only the hypotenuse is given we have to use trigonometric function to solve the other 2 sides (opposite and adjacent side). And mind you they'll have both same measurements since it's 45deg-45deg to a right triangle. We'll find out; \n" ); document.write( "First, we use the function \"sine\" to get one side, = opp/hyp= \"a\"/hyp \n" ); document.write( "sin45=a/4*sqrt2 \n" ); document.write( "a=(sin45)(4*sq rt2), measurement of one leg \n" ); document.write( "For the other leg we use \"cosine\" because we deal the adjacent side this time= adj/hyp= \"b\"/hyp \n" ); document.write( "cos45=b/4*sq rt2 \n" ); document.write( "b=(cos45)(4*sq rt2), measurement of the other leg. \n" ); document.write( "Why they're the same? \n" ); document.write( "Because sin45=cos45, check it out. \n" ); document.write( "why i use sine or cosine? review your trigo functions i guess in dealing with those legs- opposite and adjacent side. \n" ); document.write( "Hope this help. \n" ); document.write( "Thank you, \n" ); document.write( "Jojo \n" ); document.write( " |