diff --git a/Lib/pydoc.py b/Lib/pydoc.py
index 9a22e56686f..dc3377d68f8 100644
--- a/Lib/pydoc.py
+++ b/Lib/pydoc.py
@@ -66,6 +66,7 @@ import pkgutil
 import platform
 import re
 import sys
+import sysconfig
 import time
 import tokenize
 import urllib.parse
@@ -392,9 +393,7 @@ class Doc:
 
     docmodule = docclass = docroutine = docother = docproperty = docdata = fail
 
-    def getdocloc(self, object,
-                  basedir=os.path.join(sys.base_exec_prefix, "lib",
-                                       "python%d.%d" %  sys.version_info[:2])):
+    def getdocloc(self, object, basedir=sysconfig.get_path('stdlib')):
         """Return the location of module docs or None"""
 
         try:
diff --git a/Lib/trace.py b/Lib/trace.py
index 62325d3f238..a44735761df 100755
--- a/Lib/trace.py
+++ b/Lib/trace.py
@@ -52,6 +52,7 @@ __all__ = ['Trace', 'CoverageResults']
 import linecache
 import os
 import sys
+import sysconfig
 import token
 import tokenize
 import inspect
@@ -676,9 +677,8 @@ def main():
     opts = parser.parse_args()
 
     if opts.ignore_dir:
-        rel_path = 'lib', 'python{0.major}.{0.minor}'.format(sys.version_info)
-        _prefix = os.path.join(sys.base_prefix, *rel_path)
-        _exec_prefix = os.path.join(sys.base_exec_prefix, *rel_path)
+        _prefix = sysconfig.get_path("stdlib")
+        _exec_prefix = sysconfig.get_path("platstdlib")
 
     def parse_ignore_dir(s):
         s = os.path.expanduser(os.path.expandvars(s))
diff --git a/Misc/NEWS.d/next/Library/2020-02-12-10-04-39.bpo-21016.bFXPH7.rst b/Misc/NEWS.d/next/Library/2020-02-12-10-04-39.bpo-21016.bFXPH7.rst
new file mode 100644
index 00000000000..fb91bb38255
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2020-02-12-10-04-39.bpo-21016.bFXPH7.rst
@@ -0,0 +1,4 @@
+The :mod:`pydoc` and :mod:`trace` modules now use the :mod:`sysconfig`
+module to get the path to the Python standard library, to support uncommon
+installation path like ``/usr/lib64/python3.9/`` on Fedora.
+Patch by Jan Matějek.