Question

Emily is building a square bookshelf. She wants to add a diagonal support beam to the back to strengthen it. The

diagonal divides the bookshelf into two 45° - 45°-90° triangles. If each side of the bookshelf is 4 feet long, what
must the length of the support beam be?

Answer 1

Answer: 4√2

The sides of a 45-45-90 triangle are in the ratio 1 : 1 : √2. In this case, the ratio is 4 : 4 : 4√2.

i hope this helped! :D