Question

In an isosceles triangle abc with ab=ac,d and e are points on bc such that be=cd .Show that ad=ae.

Answer 1

Step-by-step explanation:

given ab=ac,be=CD then in triangle abe and adc we have ab=ab(given)

be= cd(given)

angle a= angle a( common )

by SAS congurency they are equal

now

ad=ae ( by cpct)

Answer 2

# Solution -

Given that ∆ABC is an isosceles triangle. In which, AB = AC and D and E are points lying on BC such that BE = CD.

(αttαchєd fígurє)

In the ∆ABC,

∆ABD = ∆ACE

and, AB = AC (Side)

BE = DC (Side)

Angle A = Angle A (common )

According to SAS property of ∆'s.

∆ABE ≈ ∆ADC

So, AD = AE ________[PROVED]