Question

Show that the two triangles given is the following
figures are congruent​

Answer 1

Answer:

Step-by-step explanation:

CD=28-16=12

CD=AB--------(1),

ANGLE C=ANGLE C (alternate angles) -------(2),

ANGLE B= ANGLE D (given) --------(3),

Therefore, both triangles are congruent by A. S.A OR by A.A.S THEOREM

Answer 2

Step-by-step explanation:

Given,

BD=BC+CD

28=16+CD

CD=28-16=12

CE²=CD²+DE²

DE²=CE²-CD²

DE²=20²-12²

DE²=400-144

DE²=256

DE=16

CA²=CB²+AB²

CA²=16²+12²

CA²=256+144

CA²=400

CA=20

AB=CD=12cm

BC=DE=16cm

AC=CE=20cm

A<>C

B<>D

C<>E

ABC is congruent to CDE by SSS congruence condition.