D is any point on side AC of a `Delta ABC` with `AB = AC` then

Options

A. `CDltBD`
B. `CD=BD`
C. `CD>BD`
D. `NONE`

Answer

A

Explanation

Given in `DeltaABC,D ` is any Point on side AC such that AB=AC.

Proof in ` Delta ABC " " AC=AB " [given]`
` rArr " "angleABC =angleACB " "(i)`
`" "["angles opposites to equal sides are equal sides are equal"]`
`In Delta ABC and Delta DBC " " angleABC gt angleDBC " "[since ,angleDBC "is a internal angle of " angleB]`
`rArr " " angleACB gt angleDBC " "["from Eq.(i)"]`
`rArr BD gt CD " "["side opposite to greater angle is longer"] `
`or " " CD lt BD `