Agirl has a pen that is a length of 12cm measured to the nearest cm . her pencil case has a diagonal of length of 12.5cm , measured to the nearest mm. explain why it might not be possible for her to fit the pen in the pencil case?

The pyraminx is a rubik's cube-type toy in the shape of a tetrahedron. the pyraminx shown below has edges 15\,\text{cm}15cm long and vertical height h=12.2\,\text{cm}h=12.2cm. the triangle drawn with dashed lines is a right triangle. what is the distance rr? round your answer to the nearest tenth.