The area of a triangle is given by

(area of a triangle) = (1/2)*base*height

Putting your numbers into the equation, we get

44 cm^2 = (1/2)*(height + 3 cm)(height)

88 cm^2 = (height + 3 cm)(height) (multiply both sides by 2)

Now, we recognize that 88 factors as 88 = 11*8. We recognize that these factors differ by 3, so we know

height + 3 cm = 11 cm = base

height = 8 cm

(area of a triangle) = (1/2)*base*height

Putting your numbers into the equation, we get

44 cm^2 = (1/2)*(height + 3 cm)(height)

88 cm^2 = (height + 3 cm)(height) (multiply both sides by 2)

Now, we recognize that 88 factors as 88 = 11*8. We recognize that these factors differ by 3, so we know

height + 3 cm = 11 cm = base

height = 8 cm