# The diagonals of a rhombus are of lengths 6 cm and 8 cm. Find the perimeter of the rhombus?

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AC and BD are diagonals.

AC=6, BD=8

diagonals of a rhombus bisect each other at right angles.

consider AC and BD meet at O

then in triangle AOD,

AD² = AO² + OD²

= (AC/2)² + (BD/2)²

= 3² + 4²

= 25

AD = √25

AD=5=side of rhombus

perimeter=4*side

=4*5=20.

therefore perimeter of rhombus is 20cm.