Answer:
h = 16.7 inches
Step-by-step explanation:
h² + (h + 7)² = 29²
h² + h² + 14h + 49 = 841
2h² + 14h - 792 = 0
h² + 7h - 396 = 0
quadratic formula
h = (-7 ±√(7² - 4(1)(-396))) / (2(1))
h = (-7 ± 40.4103) / 2
h = -23.705 which we ignore as negative length makes no sense
(although 23.705 inches will turn out to be the width of our rectangle)
or
h = 16.705
