The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x.

Question

Cornelius

Mathematics

29 January, 14:35

The area of a triangle is 16 square units. The base of the triangle is x+4. The height of the triangle is x. Find x.

+2

Answers (1)

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George Ewing · Answer 1

The area of triangle formula is A = B*H / 2

so it means 16 square = (x+4) x / 2

so x²+4x - 32=0, D' = 2² - (-32) = 36, sqrt of D' = 6

so x = - 2 - 6 = - 8 or x = - 2 + 6 = 4

x must be positive so x = 4