Question

MATH
PROVE that the diagonal s of a rectangle are of equal length ​

Answer 1

Step-by-step explanation:

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

Answer 2

Answer:

Diagram in photo

Step-by-step explanation:

Let ABCD be a rectangle.

We have to prove that AC = BD

In the traingle ABC and DCB

BC = CB (common)

AB = DC( opposite sides of parellelogram are equal)

ABC = DCA = 90°(given)

ABC =( congruent) DCB ( SAS)

Hence AC = DB (CPCT)

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