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The height of a triangle is 4 more than the base, and the area of the triangle is 6 square units. Find the length of the base. Let x = the length of the base.
Let x be the length of the base. Its height is x + 4. Area = 1/2 * base * height = 1/2 * x * (x + 4) = 6 x^2 + 4x = 6(2) = 12 x^2 + 4x - 12 = 0 (x + 6)(x - 2) = 0 x = -6 or x = 2 The base of the triangle is 2 units.
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Asked 11/13/2014 9:10:06 AM
Updated 11/17/2014 12:47:25 AM
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Let x be the length of the base. Its height is x + 4.
Area = 1/2 * base * height = 1/2 * x * (x + 4) = 6
x^2 + 4x = 6(2) = 12
x^2 + 4x - 12 = 0
(x + 6)(x - 2) = 0
x = -6 or x = 2
The base of the triangle is 2 units.
Added 11/17/2014 12:47:25 AM
This answer has been confirmed as correct and helpful.
Confirmed by jeifunk [11/17/2014 12:56:04 AM]
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