Can someone me solve this? x/3+1/2=5/4

Adiverr from the university of florida women’s swimming and diving team is competing in the ncaa zone b championships

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.

In the diagram, gef and hef are congruent. what is the value of x