The answer lies in the shadows .....

Geometry Level 5

Suppose \(T\) is a triangle sitting (stationary) in \(\textbf{R}^{3}\).

When \(T\) is projected orthogonally onto the \(xy\)-, \(xz\)- and \(yz\)-planes, the respective areas of these projections, ("shadows", if you will), in these planes are \(2, 6\) and \(9\) units\(^{2}\).

What is the area of \(T\), in units\(^{2}\)?

×

Problem Loading...

Note Loading...

Set Loading...