Question

Each side of a rhombus is 15cm. if the length of one of its diagonals is 18cm, the what is the length of the other diagonal?​

Answer 1

Answer:

we know that the diagonal of a rombus bisect each other at right angle

$bo = \frac{1}{2} \times 18 \\ bo = 9cm \\ \\ ab \: = 15 \\ angle \: \: aob \: = 90 \\ \\ from \: right \: angle \: triangle \\ \\ ao ^{2} = (ab ^{2} - bo ^{2} ) \\ \\ (15 ^{2} - 9 ^{2} ) \\ \\ (225 - 81) \\ = \sqrt{144} = 12 \\ \\ ao = 12 \\ ac = 2 \times (12) \\ 24cm$