Question

if a diagonals of a rhombus are 12 cm and 16cm , find the length of each sides​. who will give answer first i will mark brainlist

Answer 1

question:-

if a diagonals of a rhombus are 12 cm and 16cm , find the length of each sides.

solution:-

let us assume the rombus as ABCD

formula:-

$\frac{bd}{2} ^{2} + \frac{ac}{2} ^{2} = s^{2}$

so we have:-

$\frac{12}{2} ^{2} + \frac{16}{2} ^{2} = s^{2}$

${8}^{2} + {6}^{2} = s ^{2}$

$s= \sqrt{100}=10cm$

therefore ,each side= 10cm

Answer 2

question:-

if a diagonals of a rhombus are 12 cm and 16cm , find the length of each sides.

solution:-

let us assume the rombus as ABCD

Sides will be = 10 cm.

By using,

$(2BD) {}^{2} +(2AC) {}^{2} =S {}^{2}$

Putting values ,

$(216) {}^{2} +(212) {}^{2} =S {}^{2}$

$(8) {}^{2} +(6) {}^{2} =S {}^{2}$

$\sqrt{1} 00=S$

$∴S=10 cm$