SSL connections fail after upgrading Red Hat Enterprise Linux 6 client to openssl-1.0.1e-16.el6_5

Issue

• on RHEL 6.4, wget works:

# wget -d --no-check-certificate https://server.example.com/file.txt

• the same command fails on RHEL 6.5:

# wget -d --no-check-certificate https://server.example.com/file.txt
Setting --check-certificate (checkcertificate) to 0
DEBUG output created by Wget 1.12 on linux-gnu.

--2013-12-03 14:17:02--  https://server.example.com/file.txt
Resolving server.example.com... 192.168.1.2
Caching server.example.com => 192.168.1.2
Connecting to server.example.com|192.168.1.2|:443... connected.
Created socket 3.
Releasing 0x0000000001a417c0 (new refcount 1).
Initiating SSL handshake.
SSL handshake failed.
OpenSSL: error:140773E8:SSL routines:SSL23_GET_SERVER_HELLO:reason(1000)
Closed fd 3
Unable to establish SSL connection.