The answer is: " 7√6 units " ; or, write as: " 17.146 units " .
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In this case, a square, the two sides of the square (forming a right triangle) are equal), and the "diagonal" is the hypotenuse of the right triangle.
In these cases, the measurements of the angles of the right triangle are "45, 45, 90" ; and the measurements of the sides are: "a, a, a√2" ; in which "a√2" is the hypotenuse.
We are given: "a = side length of the square = 7√3" ; so, the sides are:
a, a, a√2 ; or, "7√3, 7√3, {7√3√2} ; We are asked to find the diagonal, or hypotenuse; which is: "{7√3√2}" ;
which is: " 7√6 units "; or, write as: " 17.146 units " .
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