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?

Question

Mathematics

Ryan Vazquez

1 May, 14:46

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?

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Answers (1)

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Samson Maynard · Answer 1

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