Friday
May 24, 2013

# Homework Help: >_<

Posted by Anonymous on Sunday, May 20, 2012 at 11:39pm.

The 3 sided triangle has an area of 14 in^2. Determine the lengths of the sides of the triangles.Remember that the area of a triangle is ½ bh. bottom length= x+3 side length= x

• >_< - more info - Steve, Monday, May 21, 2012 at 12:47am

I don't think there's enough info here.

If h is the altitude and x and (x+3) are adjacent sides, then h=x*sin(t) where t is the angle between the sides.

Then we have

1/2 (x+3)(x sin(t)) = 14

For any suitable value of x, there may be two values of t that will provide solutions, depending on whether the triangle is acute or obtuse.

That having been said, let's pick an easy angle, say 30 or 150 degrees. Then

1/2 (x+3)(x/2) = 14
x=6.13
and the sides are 6.13, 9.13, 4.91
or 6.13, 9.13, 14.76

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