A triangle has a height that is 5 units shorter than its base. If b represents the base and h represents the
height, which of the following equations represent the
area of the triangle?

Area of triangle = 1/2 (h+5)*h

Area of triangle = 1/2*b*(b-5)

Step-by-step explanation:

Base of triangle = b

height of triangle = h

Given height that is 5 units shorter than its  base

Thus,

height of triangle = Base of triangle - 5

substuting value of height and base of triangle

h = b -5 (1)

adding 5 on LHS and RHS

h+5 = b - 5 + 5

h+5 = b > (2)

Area of triangle = 1/2(base* height)

using height h = b-5  from equation 1 and base as b

Area of triangle = 1/2b*(b-5)

using base b = h+5  from equation 2 and height as h

Area of triangle = 1/2 (h+5)*h

Thus, area of triangle can be written in two form

Area of triangle = 1/2 (h+5)*h

Area of triangle = 1/2*b*(b-5)

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