Question

in the given figure if AC=BD then prove thatAB=CD​

Answer 1

Answer:

square

Step-by-step explanation:

as it has all sides equal

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Answer 2

Step-by-step explanation:

From the above figure we get that

AC = AB + BC

BD = BC + CD

It is given that AC = BD

Plug the value of AC 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 side in equation (1), we get

AB + BC − BC = BC + CD − BC

AB = CD hence proved

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