After getting the Bandages, climb back up to the entrance and drop down at the other side. Follow the ledge around to the right.

Hop (Jump+Walk) to the opposite ledge or take a couple of steps backwards and perform a standing jump. The ledge ahead collapses so turn right and start running on the bridge. Do not stop at all, because the bridge is ready to collapse. Jump at the edge to land on the opposite block and head to the narrow ledge on the left hand side.

Step on the narrow ledge and side-step to get to the other side. When Lara takes the normal position, turn right. Your target is the orange ledge at the far side. The lower greenish ledge ahead collapses when you step on it. Start running and jump at the edge of the lower ledge. Make sure you jump from the right side and grab the right hand edge of the orange ledge. If you grab the left part, you will be hit by the greenish ledge that collapses and die.

Pull up and immediately turn right and take a standing jump on the green ledge.

This ledge is about to fall, so start running and jump on the lower ledge at the far left corner.