Question

Please do this sum.

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Answer 1

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given ac= ab = ad

angle ABC =angle ACB. (angles opposite to equal sides of ∆)

angle ADC= angle ACD. (same property)

angle BAC= angle ADC + angle ACD.

(ext. angle property)

angle DAC= angle ABC + angle ACB

(same property)

angle BCD= angle ACB+ angle ACD

= angle DAC/2+ angle BAC/2

angle DAC + angle BAC= 180°

(linear pairs of angles)

DAC/2+BAC/2=(DAC+BAC)/2= 180°/2

angle BCD = 180°/2

angle BCD. = 90°

Hence proved, BCD is right angle.