Question

a)
in the given figure, AB = AC, BD = EC and ZDAE = 36
Prove that AADE is an isosceles triangle. Also calculate the
size of ZADE​

Answer 1

Answer:

In triangle ADE ,

AD = AE [given]

⇒ ∠AED = ∠ADE [angles opposite to equal sides are equal]

⇒ 180 - ∠AED = 180 - ∠ADE

⇒∠AEC = ∠ADB ............(1)

in Δ ABD and Δ ACE

AD = AE [ given ]

∠ADB = ∠AEC [ using (1) ]

BD = CE [ GIVEN ]

Δ ABD is congruent to Δ ACE [ SAS ]

⇒ AB = AC [ CPCT ]