Thursday

July 24, 2014

July 24, 2014

Posted by **Britt** on Tuesday, December 20, 2011 at 6:08pm.

- trigonometry -
**Steve**, Tuesday, December 20, 2011 at 6:43pmDraw a diagram. you have an almost-isosceles triangle, with base 3, sides 5,6.

Drop an altitude h to the base side 3. It will divide the base into two sections, of length x and 3-x.

Let x be the distance from side 5 to the base of h.

x^2 + h^2 = 25

(3-x)^2 + h^2 = 36

25 - x^2 = 36 - (3-x)^2

25 - x^2 = 36 - 9 + 6x - x^2

25 = 27 + 6x

6x = -2

x = -1/3

1/9 + h^2 = 25

h = 4.988

So, the area is 1/2 * 3 * 4.988 = 7.482

That's the area, so you can figure the price.

check: Heron's says a^2 = 7*1*2*4 = 56, so a = 7.483

**Related Questions**

Calculus - A box is constructed out of two different types of metal. The metal ...

calculus - A box is constructed out of two different types of metal. The metal ...

calculus - A box is contructed out of two different types of metal. The metal ...

Calculus - A right cicular cylindrical can is to be constructed to have a volume...

math - A right cicular cylindrical can is to be constructed to have a volume of ...

math - A right cicular cylindrical can is to be constructed to have a volume of ...

inermediate algebra - A box with no top is to be made by cutting a 2-inch square...

Calculus - A covered metal triangular trough is constructed as follows: A square...

calculus - A box is constructed out of two different types of metal. The metal ...

Math - A metal sheet made up the faces of a cube measured 12 cm x 12 cm x 12 cm...