Question

One diagonal of rhombus of side 13 cm is 24 cm find measure of second diagonal

Answer 1

hope it help you..........

Answer 2

Answer:

10 cm

Step-by-step explanation:

Concept:

Diagonals of rhombus bisect each other.

Diagonal of rhombus interssect at right angles.

Given:

AC = 24 cm

OA = OC = 12 cm

In right angled triangle OAB,

By pythagoras theorem,

$AB^2= OA^2+OB^2 \\\\(13)^2= (12)^2+OB^2 \\\\169-144=OB^2 \\\\25=OB^2 \\\\OB^2=25\\\\OB=\sqrt{25} \\\\OB = 5 cm$

Length of the diagonal BD

= 2(OB)

= 2(5)

=10 cm