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A B C D is a rhombus. Show that diago...

`A B C D` is a rhombus. Show that diagonals `A C` bisects `/_A` as well as `/_C` and diagonal `B D` bisects `/_B` as well as `/_D`

Text Solution

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We can construct a diagram with the given details.
Please refer to video for the diagram.
Now, in `Delta AEB and Delta AEC`,
`AB = AC`(sides of rhombus)
`/_AEB = /_AEC = 90^@`
`AE = AE`(Common sides)
So by, RHS criterion,
`Delta AEB ~= Delta AEC`
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