Question 224251
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Let *[tex \Large x] represent the measure of the unknown leg of the triangle.  The total perimeter is 300, so the sum of the hypotenuse plus the unknown side must be 300 - 120 (the measure of the known side) = 180.  So that means the hypotenuse can be represented as *[tex \Large 180 - x].


Now that we have representations for each of the sides, we can use Pythagoras:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (180 -x)^2 = x^2 + 120^2]


Just solve for *[tex \Large x] and then *[tex \Large 180 - x] 


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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