Answer: 9.40 And 41 Metres: To check the solution: Square the length of the perpendicular, subtract 1 and divide by 2, and the result is the length of the base. Add 1 to this and this same formula applies when the perpendicular is any odd number and these combinations of numbers are sometimes called ‘Pythogorean’ series.
This method is derived from the
theorem of Pythagoras concerning the right angled triangle.
H² = B² + p²
(B+ 1) ² = B² + P ²
28 + 1 = P²
B = P² -2 / 2
In this case B = 9² -1 / 2 = 40
Metres
We are told that h = b + 1
H = 41 Metres.
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