Are triangles abc and dec congruent?

Yes, by AAS

Step-by-step explanation:

We are given that

BC=CE

We have to find triangle ABC and DEC are congruent or not.

In triangle ABC and DEC

Statement:

Reason : Given

Statement:

Reason: Given

Statement:

Reason: Vertical angles theorem

Statement:

Reason: AAS Postulate.

AAS postulate: When two angles and one side of one triangle are equal to corresponding angles and corresponding side of other triangle .Then , two triangles are congruent by AAS postulate.

Hence, triangle ABC and DEC are congruent by AAS postulate.

add an image

step-by-step explanation:

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length