The tabs of SlidingPanes are not rendered (sized) properly is the SlidingPane is containing a nested Splitter. The issue is not reproducible with 2014.2.724 version of the controls.
Reproduction code:
<telerik:RadSplitter ID="RadSplitter2" runat="server" Skin="Metro">
<telerik:RadPane ID="RadPane1" runat="server" Width="22px">
<telerik:RadSlidingZone ID="RadSlidingZone1" runat="server" Width="22px">
<telerik:RadSlidingPane ID="RadSlidingPane2" Title="What If" runat="server">
<telerik:RadSplitter ID="WhatIfPaneSplitter" runat="server" Width="50px">
<telerik:RadPane ID="RadPane2" runat="server"></telerik:RadPane>
<telerik:RadPane ID="RadPane3" runat="server"></telerik:RadPane>
</telerik:RadSplitter>
</telerik:RadSlidingPane>
</telerik:RadSlidingZone>
</telerik:RadPane>
<telerik:RadPane ID="RadPane4" runat="server"></telerik:RadPane>
</telerik:RadSplitter>