Question

ABCD is rectangle.if AB=5cm and BC=12cm,then diagonal BD=____cm.​

Answer 1

Answer:

13

Step-by-step explanation:

BD^2= AB^2+BC^2

=25+ 144

=169

Therefore BD=13

Answer 2

$bd = \sqrt{ {(ab)}^{2} + {(bc)}^{2} } \\ bcoz \: ab = cd \: and \: bc = da \: as \: it \: is \: a \: rectangle \\ bd = \sqrt{ {(5)}^{2} + {(12)}^{2} } \\ = \sqrt{25 + 144 } \\ = \sqrt{169} \\ = \sqrt{ {(13)}^{2} } \\ = 13$

Hence, BD = 13 cm