please answer this question
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In quadrilateral ABCD, AB smallest and CD is longest sides.
RTP:- angle A angle C and angle B angle D
Construction:- Join AC.
Mark the angles as shown in the figure.
Proof:- In ∆ABC, AB is the shortest side.
BC>AB
angle 2 angle 4 .....(I)
[ Angle opposite to longer side is greater ]
In ∆ ADC, CD is the Longest side
CD> AD ....(ii)
angle 1 angle 3
[ Angle opposite to longer side is greater]
Adding (I) and (ii)
angle + angle 1 > angle 4+ angle 3
=> angle A angle. C
Similarly, by joining BD, we can prove that angle B angle D
Hope this helps you friend
Thanks ✌️✌️
RTP:- angle A angle C and angle B angle D
Construction:- Join AC.
Mark the angles as shown in the figure.
Proof:- In ∆ABC, AB is the shortest side.
BC>AB
angle 2 angle 4 .....(I)
[ Angle opposite to longer side is greater ]
In ∆ ADC, CD is the Longest side
CD> AD ....(ii)
angle 1 angle 3
[ Angle opposite to longer side is greater]
Adding (I) and (ii)
angle + angle 1 > angle 4+ angle 3
=> angle A angle. C
Similarly, by joining BD, we can prove that angle B angle D
Hope this helps you friend
Thanks ✌️✌️
bhavana39:
love this
Answered by
1
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