Posted by **Valentine** on Thursday, March 3, 2011 at 12:02pm.

The base of a triangle is 8 cm greater than the height. The area is 64 cm^2. Find the height and the length of the base.

- alegbra -
**Henry**, Saturday, March 5, 2011 at 3:09am
height = X-cm,

Base = (X + 8)cm,

A = bh/2 = (X + 8)X/2 = 64,

Multiply both sides by 2:

(X + 8)X = 128,

X^2 + 8X = 128,

X^2 + 8X - 128 = 0,

(X - 8)(X + 16) = 0,

X - 8 = 0,

X = 8.

X + 16 = 0,

X = -16.

Use the + value of X:

X = 8cm = height.

X + 8 = 8 + 8 = 16cm = base.

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