Posted by **Gilda** on Monday, July 5, 2010 at 8:42am.

Application of Quadratic Equations

The base of a triangle is longer than twice its corresponding height by 1 cm. The area of the triangle is 105 cm(square). Find the height of the triangle

- Math -
**Reiny**, Monday, July 5, 2010 at 8:48am
height ---- x

base ---- 2x + 1

(1/2)(base)(height) = area

(1/2)(2x+1)(x) = 105

x(2x+1) = 210

2x^2 + x - 210 = 0

(x-10)(2x+21) = 0

x = 10 or x = -21/2 , but obviously x has to be positive, so

x = 10

The height is 10 cm

check:

height is 10

base is 21

area = (1/2)(21)(10) = 105

answer is correct

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