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Huh wait LaTeX doesn't work here? T-T
Let $P$ be the foot of the altitude from $B$ to $\overline{CD}$. Let $h = BP$, the height of the trapezoid. Let $x = CP$, so $DP = 8 - x$. By the Pythagorean Theorem on right triangle $BPC$, \[x^2 + h^2 = 49,\]and by the Pythagorean Theorem on right
