Four points given below A(6,3) B(-3,5) C(4,-2) and D(x,4x) are given such that triangle DBC/triangle ABC = 1/2, find x
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step1:- ar (DBC)=1/2 {x (5+2)-3 (-2-3x)+4 (3x-5)}=1/2 (7x+6+9x+12x-20)=1/2 (28x-14)
=14x-7
step 2:- ar (ABC)=1/2 {6 (5+2)-3 (-2-3)+4 (3-5)}=1/2 (42+15-8)=49/2
step 3:-
=> ar (DBC)/ar (ABC)=1/2
=> (14x-7)/49/2=1/2
=> 14x-7=49/4
=> 14x=77/4
=> x=11/8
Hope This Helps :)
=14x-7
step 2:- ar (ABC)=1/2 {6 (5+2)-3 (-2-3)+4 (3-5)}=1/2 (42+15-8)=49/2
step 3:-
=> ar (DBC)/ar (ABC)=1/2
=> (14x-7)/49/2=1/2
=> 14x-7=49/4
=> 14x=77/4
=> x=11/8
Hope This Helps :)
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