The Base Of A Triangle Is 3 Cm Greater Than The Height. The Area Is 44cm^2. Find The Height And The Length Of The Base. Please Help?

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Oddman Profile
Oddman answered
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
The height is 8 cm and the length of the base is 11 cm.

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