Question

In a rectangle ABCD, the diagonal AC=10cm then the diagonal BD = _______cm.Fill in the blank.

Answer 1

$We\:\:know \:\:diagonals\:\:of\:\:rectangle \:\:are \:\:equal\\ \\ \\ Hence, \: BD = 10 cm.$

Answer 2

Answer:

Diagonal BD =10 cm.

Step-by-step explanation:

A rectangle is a quadrilateral whose opposite sides are equal and all the four angles are right-angle.

So, in rectangle ABCD, length AB= length CD and length BC= length CA.

Again, angle A= angle B= angle C= angle D=90°.

Hence, Diagonal BD= √(AD²+AB²) ....... (1) and Diagonal AC= √(AB²+BC²) ........... (2)

Since, AD=BC, then from (1) and (2), we get, BD=AC= 10 cm.{Given that Diagonal AC=10 cm.}

(Answer)