What other information do you need to prove δabe is congruent to δeda by sss?
a) a= c
b) δeac is isosceles triangle with base ec
c) e= c
d) eac is equilateral triangle

D) EAC is equilateral triangle

Step-by-step explanation:

Given :

AEC is a triangle in which B∈ AC and D∈EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

We have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of equilateral triangle,

EA = AC = EC

If AC = EC

⇒ AB + BC = ED + CD

⇒ AB + CD = ED + CD

⇒ AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Therefore, option D is correct.

i you goofed up when writing this, because hnot is not a word minusf is not either. i cannot answer   because of that.

step-by-step explanation: