Question

in the fig. ab= ca and angle b=c, prove that triangle abd congruent to triangle ace and ad =ae

Answer 1

To prove: Triangle ACE congruent to Triangle ABD and AD= AE

In Triangle ACE and Triangle ABD,
i) AB = AC (Given)
ii) Angle B = Angle C (Given)
iii) Angle A = Angle A (common)

Therefore,
Triangle ACE congruent to Triangle ABD(AAS)
Proved.......

Therefore,
AD=AE(CPCT)
Proved......


Hope this helps.....

Answer 2

Answer:

Step-by-step explanation:

To prove: Triangle ACE congruent to Triangle ABD and AD= AE

In Triangle ACE and Triangle ABD,

i) AB = AC (Given)

ii) Angle B = Angle C (Given)

iii) Angle A = Angle A (common)

Therefore,

Triangle ACE congruent to Triangle ABD(AAS)

Proved.......

Therefore,

AD=AE(CPCT)

Proved......

Hope this helps.....

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