Unable to install "Android SDK Platform Tools" from SDK Manager

I had to install it by myself.

1. Download link:
   https://developer.android.com/studio/releases/platform-tools.html
2. Select the zip file SDK Platform-Tools for Windows and extract it.
3. Move it into your android directory, in my case it was: C:\Users\Public\Documents\Embarcadero\Studio\19.0\CatalogRepository\AndroidSDK-2433_19.0.27659.1188.
4. Now you have the new directory: C:\Users\Public\Documents\Embarcadero\Studio\19.0\CatalogRepository\AndroidSDK-2433_19.0.27659.1188\platform-tools.
5. Run SDK Manager.exe again.

In my case, the error was gone. I had to install 4 packages first and then I had to install 3 packages after that. Now it run perfect.

You can just extract the archive the SDK Manager already downloaded:

1. Go to your android-sdk directory
2. Enter the 'temp' folder
3. Extract the 'platform-tools_r26.0.2-windows.zip' to the android-sdk root directory

But this makes the checksum pointless, it might be better to wait until it is fixed unless you need the new version now.

I resolved this by first removing the Android SDK Platform-tools using the Android SDK Manager. Then I used the direct download link provided by Umair Malhi above (https://dl.google.com/android/repository/platform-tools_r26.0.2-windows.zip) then extracted the platform-tools folder into the SDK folder (which in my case is C:\ProgramData\Microsoft\AndroidSDK\25). If you rerun Android SDK Manager, the issue is resolved.