in the given figure if AC=BD prove AB=CD.
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Answered by
11
From the given figure,
AC = AB + BC
BD = BC + CD
It is given that AC = BD.
Putting the values of AC and BD, we get:
AB + BC = BC + CD..................(1)
According to Euclid's axiom, when equals are subtracted from equals, the remainders are also equal.
Subtracting BC from both sides in equation (1), we get:
AB + BC − BC = BC + CD − BC
AB = CD
Hence, proved.
AC = AB + BC
BD = BC + CD
It is given that AC = BD.
Putting the values of AC and BD, we get:
AB + BC = BC + CD..................(1)
According to Euclid's axiom, when equals are subtracted from equals, the remainders are also equal.
Subtracting BC from both sides in equation (1), we get:
AB + BC − BC = BC + CD − BC
AB = CD
Hence, proved.
rohit456789:
sure
Answered by
4
figure to bata yarr.....
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