diff --git a/Lib/random.py b/Lib/random.py
index e89fae6..3f96a37 100644
--- a/Lib/random.py
+++ b/Lib/random.py
@@ -371,7 +371,10 @@
 
         """
         u = self.random()
-        c = 0.5 if mode is None else (mode - low) / (high - low)
+        try:
+            c = 0.5 if mode is None else (mode - low) / (high - low)
+        except ZeroDivisionError:
+            return low
         if u > c:
             u = 1.0 - u
             c = 1.0 - c
diff --git a/Lib/test/test_random.py b/Lib/test/test_random.py
index ba447ee..1a5a86b 100644
--- a/Lib/test/test_random.py
+++ b/Lib/test/test_random.py
@@ -541,7 +541,7 @@
         for variate, args, expected in [
                 (g.uniform, (10.0, 10.0), 10.0),
                 (g.triangular, (10.0, 10.0), 10.0),
-                #(g.triangular, (10.0, 10.0, 10.0), 10.0),
+                (g.triangular, (10.0, 10.0, 10.0), 10.0),
                 (g.expovariate, (float('inf'),), 0.0),
                 (g.vonmisesvariate, (3.0, float('inf')), 3.0),
                 (g.gauss, (10.0, 0.0), 10.0),
diff --git a/Misc/NEWS b/Misc/NEWS
index d46d1d3..04e9221 100644
--- a/Misc/NEWS
+++ b/Misc/NEWS
@@ -23,6 +23,9 @@
 
 - Issue #19925: Added tests for the spwd module. Original patch by Vajrasky Kok.
 
+- Issue #13355: random.triangular() no longer fails with a ZeroDivisionError
+  when low equals high.
+
 - Issue #21522: Added Tkinter tests for Listbox.itemconfigure(),
   PanedWindow.paneconfigure(), and Menu.entryconfigure().