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ABCD is a rhombus. Show that diagonal A...

ABCD is a rhombus. Show that diagonal AC bisects `/_A`as well as `/_C`and diagonal BD bisects `/_B` as well as `/_Ddot`

Text Solution

Verified by Experts

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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