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i) In ∆BAC and ∆DAC
AC = AC (common)
∠BCA = ∠DCA (90°)
DC = BC (AZ bisects it)
∴ ∆BAC ≈ ∆DAC (SAS test)
ii) ∆BAC ≈ ∆DAC (Proved above)
iii) ∆BAC ≈ ∆DAC [proved in (i)]
AB = AD (cpct)
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Answer :-
i) Three pair of equal parts in triangle BAC and DAC -
→ ∠ DAC = ∠ BAC
→ ∠ DCA = ∠ BCA
→ AC = AC
ii)
→ ∠ DAC = ∠ BAC
→ AC = AC
→ ∠ DCA = ∠ BCA
By SAS congruence criterion :-
∆ BAC ≅ ∆ DAC
iii)
∆ BAC ≅ ∆ DAC
So, By CPCT :-
→ AB = AD
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