Question

ABCD is a rhombus in which AO = 6cm and OB = 8cm. What is the length of the side of the rhombus?

Answer 1

Answer:

Property used in the question= diagonals of rhombus bisects each other at 90°

$\sf ({ab})^{2} = ({ob})^{2} + ({oa})^{2} \\ \\ \sf ({ab})^{2} = ({8})^{2} + ({6})^{2} \\ \\ \sf \: ({ab})^{2} = 64 + 36 \\ \\ \bf \: ab = 10cm \\ \\ \bf so \: the \: side \: of \: rhombus \: is \: 10cm$