Answer:
h = 9 but see note below.
Explanation:
Givens
h = ?
L = h + 31
diagonal = 41
Formula
h^2 + (h+31)^2 = 41^2
h^2 + h^2 + 62h + 961 = 1681
2h^2 + 62h + 961 = 1681
2h^2 + 62h + 961 - 1681 =0
2h^2 + 62h - 720 = 0
h^2 + 31h - 360 = 0
(h - 9) ( h + 40) = 0
h + 40 has no meaning
h - 9 = 0
h = 9
I suppose you might have to answer it as 9.0
This will factor into