A librarian is rearranging the bookshelves and notices that the pair of bookends on the shelf are not the same size. The librarian then notices that the bookends create similar triangles.
Two triangular book ends. The right angles are shown. The bottom right angle of the triangle are marked congruent to each other. The larger bookshelf has a height of 10 inches and a diagonal height of 12 inches. The smaller bookshelf has a height of 6 inches and a diagonal height labeled x.
What is the length of the diagonal, x, created by the smaller bookend?
27.2 in.
7.2 in.
20 in.
5 in.