The area of a triangle is 36 square meters. the base is 1 meter less than the height. what is the height of the triangle?

Area = 1/2 * base * height = 1/2 b h

b = h - 1 so:-

36 = 1/2 * h * (h - 1)
h(h - 1) = 72
h^2 - h - 72 = 0
(h - 9)(h + 8)

so h = 9 or -8  ( height cannot be negative so h = 9

Answer is 9 meters

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