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Q: The base of a triangle is 6 cm greater than the height. The area is 20 cm^2. Find the height and the length of the base.
A: b = h + 8. Area = .5*h*b = .5*h*(h + 8) .5*h*(h+8) = 24. h^2 + 8h = 48. h^2 + 8h - 48 = 0. (h+12)(h-4) = 0. h = -12. h = 4. height of "-12" doesn't make any sense. Trash this solution. Use h = 4. The base is 8 bigger, that's 12.
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Asked 1/25/2012 5:05:05 PM
Updated 6/20/2014 10:35:22 AM
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Let h be the height of the triangle, its base is (h + 6).
Area = 1/2*(h + 6)*h = 20
h(h + 6) = 40
h^2 + 6h - 40 = 0
(h + 10)(h - 4) = 0
h = -10 or h = 4.
The height of the triangle is 4cm and the base is 10cm.
Added 6/20/2014 10:35:22 AM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [6/20/2014 10:41:03 AM]
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