Hi,

The base is half the height

Let x and 2x represent the base and the height

Question states***

  A = 36in^2 = (1/2)x(2x)

      36in^2 = x^2

       6in = x, the base. (tossing out negative solution for # of inches)

 Length is 12in.   (2*6in)



CHECKING our Answer***

 (1/2)6in*12in = 36in^2 

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
 The area of the triangle is 36 square inches. The base is half the height. Find the height and base of the triangle.

---

Let height = 2x inches

Then base = x inches

---

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

36 = (1/2)x(2x)

36 = x^2

---

x = 6 inches (base)

2x = 12 inches (height)

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Cheers,

Stan H.

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