Question: Were Justin Langer and Matthew Hayden right or left-handed?

Context articles: Western Australia cricket team
Justin Langer
Matthew H. Smith
Brent Hayden
Graeme Wood (cricketer)
2006–07 Ashes series
List of international cricket centuries by Matthew Hayden
Rob Langer
Southern Cross Trophy
Matthew Hayden

The Western Australia cricket team, nicknamed the Western Warriors, represent the Australian state of Western Australia in Australian domestic cricket.
 The team is selected and supported by the Western Australian Cricket Association (WACA), and plays its home games at the WACA Ground in Perth.
 The team mainly plays matches against other Australian states in the first-class Sheffield Shield competition and the limited-overs Matador BBQs One-Day Cup, but occasionally plays matches against touring international sides.
 Western Australia previously also fielded sides at Twenty20 level, but was replaced by the Perth Scorchers for the inaugural 2011–12 season of the Big Bash League.
 Western Australia's current captain is Mitchell Marsh, and the current coach is Justin Langer.
Justin Lee Langer (born 21 November 1970) is an Australian former cricketer who represented Australia in 105 Test matches, and is the current coach of Western Australia and the Perth Scorchers in Australian domestic cricket.
 A left-handed batsman, Langer is best known for his partnership with Matthew Hayden as Australia's opening batsmen during the early and mid-2000s, considered one of the most successful ever.
 Representing Western Australia domestically, Langer played English county cricket for Middlesex and Somerset, and holds the record for the most runs scored at first-class level by an Australian.
Matthew Hayden "Matt" Smith (born September 19, 1972 in Bethel Park, Pennsylvania) is an American politician.
 He served as a member of the Pennsylvania State Senate, representing the 37th district from January 2013 until June 2015.
 A member of the Democratic Party, he also served in the Pennsylvania House of Representatives from 2007 to 2012.
 He was elected to the State Senate in the 2012 election.
Brent Matthew Hayden (born October 21, 1983) is a Canadian former competitive swimmer.
 Hayden was a bronze medal-winner in the 100-metre freestyle at the 2012 Summer Olympics in London.
 He was world champion in the same event in 2007 with Filippo Magnini of Italy.
 By winning the 100-metre, Hayden became the first Canadian in 21 years to win a gold medal at the World Aquatics Championships, he was also the first Canadian to appear in the 100-metre final at the Olympics since Dick Pound at the 1960 Summer Olympics, and the first Canadian to win an Olympic medal in the 100-metre.
 Hayden adds a further three silver and one bronze medal to his World Championship totals.
 In addition, Hayden is currently the Canadian record-holder in the 200-metre, 100-metre and 50-metre freestyle in both the short-course and long-course.
 He has also held the world record in the 4×100-metre medley relay, and the 4×200-metre freestyle relay.
Graeme Malcolm Wood (born 6 November 1956 in East Fremantle, Western Australia) is a former Australian cricketer who played in 59 Tests and 83 ODIs from 1978 to 1989.
 He scored nine Test centuries in his career, which was a West Australian record until 2001–02 when it was surpassed by Justin Langer.
The 2006–07 cricket series between Australia and England for the Ashes was played in Australia from 23 November 2006 to 5 January 2007.
 Australia won the series and regained the Ashes that had been lost to England in the 2005 series.
 The five Tests of the series were played at Brisbane, Adelaide, Perth, Melbourne and Sydney.
 In winning, Australia completed a 5–0 "whitewash", the first time this had happened in an Ashes series since 1920–21.
 The series was also notable for the retirement of four significant Australian players, namely Justin Langer, Damien Martyn, Glenn McGrath, and Shane Warne.
List of international cricket centuries by Matthew Hayden
Robert Samuel Langer (born 3 October 1948 in Subiaco, Western Australia) is a former cricketer who played for Western Australia in the 1970s and 1980s.
 He was a left-handed middle order batsman and occasional right-arm medium pace bowler.
 Langer's first-class career extended from 1973–1974 until 1981–1982.
 He made 2,756 first-class runs in 44 matches at an average of 43.06 with a highest score of 150 not out.
 In 15 limited overs matches, his best score was 99 not out in a total of 338 runs at 28.16 average.
 Langer scored five first-class hundreds and 18 half-centuries during his career.
 In 1977, he signed to play World Series Cricket for the WSC Australian team and spent the 1977–78 and 1978–79 seasons with WSC.
The Southern Cross Trophy is a cricket trophy that is awarded to the winner of Test series between Australia and Zimbabwe.
 The Trophy was first contested in a single-Test series in Zimbabwe in 1999, which was accompanied by a series of three One Day Internationals.
 In the first Test of the second and last series of the Trophy in the 2003-04 season, Matthew Hayden scored a then-record highest Test score by a batsman, a 380 that won him the player of the series award.
 Hayden surpassed Brian Lara's record 375 with that score, but the record was later retaken by Brian Lara in his 400* against England the next year, still the highest score by a batsman in international cricket.
Matthew Lawrence Hayden AM (born 29 October 1971) is a former Australian cricketer, who played all three forms of the game.
 Career spanning for fifteen years, Hayden was a powerful and aggressive left-handed opening batsman, known for his ability to score quickly at both Test and one day levels.