Question 11The sides of triangle $BAC$ are in the ratio $2:3:4.$ $BD$ is the angle-bisector drawn to the shortest side $AC,$ dividing it into segments $AD$ and $CD.$ If the length of $AC$ is $10,$ then the length of the longer segment of $AC$ is:$3\dfrac12$$5$$5\dfrac57$$6$$7\dfrac12$