Math, asked by Silan2, 1 day ago

Prove that diagonals of a rectangle are equal.

Answers

Answered by jhumpamukhopadhyay19
9

Answer:

as rectangles cannot have diagonal so we have to cut it into two half vertically. then diagonal is possible as shown above

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Answered by FlawlessHeart
169

Answer:

Let ABCD be a rectangle.

We have to prove that AC = BD.

In the triangles ABC and DCB:

BC = CB (common)  

AB = DC   (opposite sides of a parallelogram are equal)  

ABC =DCA = 90°   (given)

so ABC =(congruent) DCB (SAS)

Hence AC=DB by CPCT

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