Question

Triangle abc is an isosceles triangle in which ab=ac.side ba is produced to d such that ad=ab. Show that angle bcd is a right angle

Answer 1

Answer:

Given:in triangle abc

ab=ac

ba is produced to d

such that ad=ab

to prove=angle bcd=90°

proof:

in abc

ab=ac (given)

so.angle abc =angle bca

in tri. adc

ad=ac

so.angle acd=angle cda

in tri. bcd

angle abc+angle bcd +angle cda=180

so. angle acb +angle abc +angle acd+angleacd=180

2 (acb+acd)=180

acd+acb=90

so. angle bcd=90

Answer 2

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