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the hypotenuse of a triangle is 13 less than twice one leg. If the other leg is 20cm, find the length of the other sides of the triangle.
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|dw:1316609020156:dw|
now we pythag it to calibrate for the unknowns
20^2 + L^2 = (2L-13)^2
and by other leg im assuming its not the given leg
400 + L^2 = 4L^2 -52L +196 0 = 3L^2 -52L -204 L = \(\cfrac{52\pm\sqrt{52^2-4(-204)(3)}}{2(3)}\) unless i seen it amis
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that makes it a wierd number; but about 20.63 for L
which most likely means my brain lied to me along the way :)
maybe i shoulda rounded up; 21^2 + 20^2 = (2(21)-13)^2 441+400=(42-13)^2 841=(29)^2 841=841 .... that did it
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