Question

Which equation would best help solve the following problem

The height of a triangle is 5 m less than its base. The area of the triangle is 42 m^2. Find the length of the base.
A. 42=x(x-5)
B. 42=1/2(x)(x-5)
C.42=x^2-5
D. 42=1/2(x^2-5)

Answer 1

Using the area formula and x be length of base,

42=1/2(x)(x-5)

B is the ans

Answer 2

area of triangle = 1/2*base*height
let base be x
height = x-5
42 = 1/2*x*(x-5)

so ans is B.