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which equation would best help solving the problem? the height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2. Find the length of the base.
A. 48 = x(x-4)
B. 48 = x^2 - 4
C. 48 = 1/2(x)(x-4)
D. 48 = 1/2(x^2-4)
8TH GRADE MIDDLE SCHOOL******

Respuesta :

sqdancefan
The question asks for the length of the base. It is appropriate to use the variable x for that length. The height is said to be 4 m less, so it is appropriate to represent the height by (x-4), where all lengths are in meters.

The formula for the area of a triangle is
  A = (1/2)bh
Using the values for base length (x) and height (x-4), this formula becomes
  A = (1/2)x(x-4)
The problem statement tells you the area of the triangle is 48 m², so it is appropriate to substitute that value for A in the formula. This gives ...
  C. 48 = 1/2(x)(x-4)

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