In the Given Figure angle B< angle A and angle C < angle D show that AD < BC
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__________________________
INEQUALITIES IN TRIANGLE....
__________________________
Show that -: AD < BC..
Given ,
Angle B < Angle A
So , AO < BO
(Side opposite of greater angle is longest and smaller angle is shorter)
Angle C < Angle D
So , DO < CO
(Side opposite of greater angle is longest and smaller angle is shorter)
Now ,
AO + DO < BO + CO
Since ,
AO + DO = AD
BO + CO = BC
Therefore ,
AD < BC....
-- Proved --
__________________________
INEQUALITIES IN TRIANGLE....
__________________________
Show that -: AD < BC..
Given ,
Angle B < Angle A
So , AO < BO
(Side opposite of greater angle is longest and smaller angle is shorter)
Angle C < Angle D
So , DO < CO
(Side opposite of greater angle is longest and smaller angle is shorter)
Now ,
AO + DO < BO + CO
Since ,
AO + DO = AD
BO + CO = BC
Therefore ,
AD < BC....
-- Proved --
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