Question

the diagonal of rhombus measure 16 centimetre and 30cm . what is its perimeter

Answer 1

$A \: \: rhombus \: \: is \: \: a \: \: \: 2D \: \: figure \: \: whose \: \: \bold{all \: \: sides \: \: are \: \: equal}$



$\mathbf{We \: know, diagonals \: of \: rhombus \: bisects \: each \: other \: at \: 90}$




By Pythagoras Theorem,

side² = ( half of Ist diagonal )² + ( half of IInd diagonal )²



=> side² = ( 16 / 2 )² + ( 30 / 2 )²


=> side² = ( 8 )² + ( 15 )²


=> side² = 64 + 225


=> side² = 289



$=> side = 17$


As all sides are equal, perimeter will be 4( side )


Hence, Perimeter of rhombus = 4( 17 )

Perimeter of rhombus = 68 cm