Warm Up Use what you know about 30, 60, 90 triangles to find the missing sides!

9.8 Pythagorean Theorem and Space Figures

Rectangular Solid  Face  EdgeAB is one of 12 edges  DiagonalHB is one of 4 diagonals E HG A C B O F ABFE is one rectangular face out of the 6 faces

Cube  A rectangular solid in which all edges are congruent What is the diagonal of each side?

Regular Square Pyramid  Square base Bottom of the pyramid.  Vertex  Altitude  Slant height Point where the edges of the triangles meet. Distance from vertex to the base. It is perpendicular to the center of the base. Height of the triangles, perpendicular to the base of the triangle.

Look at the right angles inside and out.

Look for the right angles here.

Try this: find HB Keep your answer in reduced radical form.

Two steps!

Try one more Try one more

These are fun!