Question

prove by pathogen theory that the diagonals of a rectangle are equal in length

Answer 1

Hey,

Given ABCD is a rectangle

then,AC and BD are diagonals

then,in triangle ABC and BCD,

angle b is common angle

BC is common side

AB = CD

so,by SAS congruency,

triangle ABC is congruent to BCD

so,by cpct,

AC = BD

so,diagonals are equal.

Hence proved.

HOPE IT HELPS YOU:-))

Answer 2

ABCD is a rectangle

And AC & BD are diagonals

Now in ∆ ABC and ∆BCD,

√ b (common angle)

BC (common )

AB = CD

Therefore by SAS congruency

∆ABC is congruent ∆ BCD

By cpct

AC = BD

diagonals are equal.