in,triangle ABC and Triangle PQR, BC=QR and angle C= angle R. to establish triangle ABC =triangle PQR by SAS congruence rule, the additional information required is. a)
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ᴴᴱᵞᴬ
ᴴᴱᴿᴱ ᴵˢ ᵀᴴᴱ ᴬᴺˢᵂᴱᴿ :-
ᴳᴵᵛᴱᴺ :-
ᵀᵂᴼ ᵀᴿᴵᴬᴺᴳᴸᴱˢ ∆ᴬᴮᶜ ᴬᴺᴰ ∆ᴾᵟᴿ
ᴬᴸˢᴼ,
ᴮᶜ = ᵟᴿ
ᴬᴺᴰ
/_ ᶜ = /_ ᴿ
ᵂᴱ ᴴᴬᵛᴱ ᵀᴼ ᴱˢᵀᴬᴮᴸᴵˢᴴ ˢᴬˢ (ˢᴵᴰᴱ ᴬᴺᴳᴸᴱ ˢᴵᴰᴱ) ᴿᵁᴸᴱ,
ᶠᴼᴿ ᵀᴴᴵˢ, ᵂᴱ ᴴᴬᵛᴱ ᵀᴼ ᵀᴬᴷᴱ ᴬᴺᴼᵀᴴᴱᴿ ˢᴵᴰᴱ.
ᵀᴴᴱ ˢᴬᵀᴵˢᶠᴵᴱᴰ ᴬᴺˢᵂᴱᴿ ᴵˢ ᴬᶜ = ᴾᴿ
ᴴᴱᴺᶜᴱ, ᴼᴾᵀᴵᴼᴺ (ᴬ) ᴵˢ ᶜᴼᴿᴿᴱᶜᵀ.
[ˢᴱᴱ ᵀᴴᴱ ᴬᵀᵀᴬᶜᴴᴹᴱᴺᵀ ᶠᴼᴿ ᶠᴵᴳᵁᴿᴱ.]
ᴴᴼᴾᴱ ᵀᴴᴵˢ ᴴᴱᴸᴾˢ.
ᴴᴱᴿᴱ ᴵˢ ᵀᴴᴱ ᴬᴺˢᵂᴱᴿ :-
ᴳᴵᵛᴱᴺ :-
ᵀᵂᴼ ᵀᴿᴵᴬᴺᴳᴸᴱˢ ∆ᴬᴮᶜ ᴬᴺᴰ ∆ᴾᵟᴿ
ᴬᴸˢᴼ,
ᴮᶜ = ᵟᴿ
ᴬᴺᴰ
/_ ᶜ = /_ ᴿ
ᵂᴱ ᴴᴬᵛᴱ ᵀᴼ ᴱˢᵀᴬᴮᴸᴵˢᴴ ˢᴬˢ (ˢᴵᴰᴱ ᴬᴺᴳᴸᴱ ˢᴵᴰᴱ) ᴿᵁᴸᴱ,
ᶠᴼᴿ ᵀᴴᴵˢ, ᵂᴱ ᴴᴬᵛᴱ ᵀᴼ ᵀᴬᴷᴱ ᴬᴺᴼᵀᴴᴱᴿ ˢᴵᴰᴱ.
ᵀᴴᴱ ˢᴬᵀᴵˢᶠᴵᴱᴰ ᴬᴺˢᵂᴱᴿ ᴵˢ ᴬᶜ = ᴾᴿ
ᴴᴱᴺᶜᴱ, ᴼᴾᵀᴵᴼᴺ (ᴬ) ᴵˢ ᶜᴼᴿᴿᴱᶜᵀ.
[ˢᴱᴱ ᵀᴴᴱ ᴬᵀᵀᴬᶜᴴᴹᴱᴺᵀ ᶠᴼᴿ ᶠᴵᴳᵁᴿᴱ.]
ᴴᴼᴾᴱ ᵀᴴᴵˢ ᴴᴱᴸᴾˢ.
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