In the rectangular solid above, TU = 3, UV = 4

In the rectangular solid above, TU = 3, UV = 4, and VR = 2. What is the area of the shaded rectangular region?

1 Explanation

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Chris Lele, Magoosh Tutor

Oct 7, 2012 • Comment

Timothy Michalak

How do we know that it is a right triangle?

Aug 24, 2017 • Reply

Sam Kinsman, Magoosh Tutor

Hi Timothy, we know that angle VUT is a right angle because we are told that the shape is a rectangular solid. That means that it is just like a rectangle - except that it is in 3D (it has a length, width, and a height, instead of just a length and a width). All the angles in a rectangle are right angles, so VUT must be a right angle.

Aug 26, 2017 • Reply