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AS TRIANGLE DCB IS RIGHT ANGLED DC^2+BC^2=BD^2
5^2+12^=BD^2
25+144=BD^2
169=BD^2
BD=13
FOR AREA OF TRIANGLE BCD WE HAVE
1/2×BASE×HEIGHT
1/2×5×12
30m^2
AND FOR TRIANGLE ABD WE HAVE HERONS FORMULA
S=(8+9+13)/2
30/2
15
=sqrt[s (s-a)×(s-b)×(s-c)]
sqrt [15×7×6×2]
6 sqrt 35 m^2
adding both areas we get
6 (5+sqrt 35) m^2
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