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CBSE Class 10 Answered

Asked by Topperlearning User | 11 Aug, 2017, 01:05: PM
answered-by-expert Expert Answer

begin mathsize 12px style Since comma space DE space is space parallel space to space AC comma
angle BDE equals angle BAC space space space space space left parenthesis Corresponding space angles right parenthesis
angle straight B equals 90 degree space space space space space space space space space space space space space space space space left parenthesis Common right parenthesis
So space increment ABC tilde increment DBE space space space space left parenthesis AA space rule right parenthesis
BD over AB equals BE over BC equals DE over AC space space space space left parenthesis Corresponding space sides space of space similar space triagles space are space proportional right parenthesis
So space 4 over 24 equals BE over 10 space rightwards double arrow BE equals 5 over 3
In space increment ABC comma
square root of 24 squared plus 10 squared end root space equals space 26 space space space space left parenthesis By space Pythagoras space theorem right parenthesis
In space right space triangle space DBE
square root of 4 squared plus open parentheses 5 over 3 close parentheses squared end root space equals 13 over 3
So space the space difference space in space the space perimeter space of space the space two space triangles space is
equals left parenthesis AB plus BC plus CA right parenthesis minus left parenthesis DB plus BE plus ED right parenthesis
equals 24 plus 10 plus 26 minus open parentheses 4 plus 5 over 3 plus 13 over 3 close parentheses
equals 60 space cm space minus space 10 space cm space equals 50 space cm end style

Answered by | 11 Aug, 2017, 03:05: PM
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