Question: If you have a right triangle with the 90 degree angle located in the bottom left corner and the triangles most sloped line goes from the top left down to the right bottom. And the length of the slope line is 10(radical sign)with the radicand of 2. How do i find the area with only one sides measurement.

Amy,

Draw a quarter circle of radius 10√2, chose a point P on the circle, draw a line from the centre C to P and then complete the triangle as in my diagram below.

Now chose a different point P and construct a triangle the same way.

And another

All three of these triangles meet your requirements and yet they have quite different areas. In fact the area of the last triangle is almost zero. If you only have the measurement of one side you can construct many different triangles with quite different areas.

Penny