Question

ABCD isa rectangle there is a diagonal AB prove that ange DAC = angle BCA

Answer 1

Hi there !!

We know that a diagonal divide a rectangle into two congruent triangles of equal areas

To prove : ∠DAC = ∠ BCA


In triangles DAC and BCA ,

DC = BA [common]

∠ADC = ∠CBA [each 90°]

AD = BC
[opp. sides of a rectangle are equal]

Hence ,
ΔDAC ≅ Δ BCA [SAS]

∠DAC= ∠BCA (cpct)

Hence proved ...... !!