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In figure ,BA | AC,DE |DF such that BA ...

In figure ,`BA _|_ AC,DE _|_DF ` such that `BA` `=` `DE` and `BF` `=` `EC`. Show that `Delta ABC cong Delta DEF.`

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Given In figure ,`BA _|_ AC,DE _|_DF `such that BA =DE and BF=EC.
To show `" "Delta ABC cong Delta DEF. `
`Proof Since " " BF=EC `
On adding CF both sides we get
`" "BF+CF=EC+CF`
`In Delta ABC and Delta DEF, " "angleA=angleD=90^(@) " "[because BA_|_ AC and DE _|_ DF]`
`" "BC=EF" "["from Eq.(i)"]`
`and " " BA =DE " "["given"]`
`therefore " "Delta ABC cong Delta DEF " "["by RHS congruence rule"]`
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