Posted by **Taylor** on Saturday, November 26, 2011 at 11:03am.

The bases of a trapezoid are 10 and 12 and the nonparallel sides are 2 and 3. How far must each of the nonparallel sides be extended to form a triangle?

- Geometry -
**Reiny**, Saturday, November 26, 2011 at 11:11am
extend each of the 3 and 3 sides until they meet.

I see similar triangles.

Let the 3 unit side be extended by x units

then x/10 = (x+3)/12

12x = 10x + 30

2x = 30

x = 15

Do the same thing for the other side by letting that extension be y units

( I got y = 10)

- Geometry check? -
**Steve**, Saturday, November 26, 2011 at 5:46pm
But where do the extended sides meet each other?

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