Question

10. The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively.
Find the length of each of its sides.

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Answer 1

Answer:

hope it helps....

Step-by-step explanation:

in pic

Answer 2

GivEn :

• Length of 1st diagonal (d1) = 16 cm

• Length of 2nd diagonal (d2) = 12 cm

To find :

• Length of each side of the rhombus = ?

SoluTion :

As we know the formula to calculate length of each side,

$:\implies \sf \: \: \: \dfrac{ \sqrt{( {d1)}^{2} + {(d2)}^{2}}}{2}$

$:\implies \sf \: \: \: \dfrac{ \sqrt{( {16)}^{2} + {(12)}^{2}}}{2}$

$:\implies \sf \: \: \: \dfrac{ \sqrt{256 + 144} }{2}$

$:\implies \sf \: \: \: \dfrac{ \sqrt{400} }{2}$

$:\implies \sf \: \: \: \dfrac{ 20 }{2}$

$:\implies \sf \: \: \: { \underline{ \boxed{ \sf{ \purple{ \: 10 \: cm \: }}}}} \: \bigstar$

As diagonals bisect the angles of a rhombus, all the sides of the rhombus are equal.

That is,

• Length of each of its sides is 10 cm.

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$\dag \Large \: { \underline{ \underline{ \sf{ \red{Additional \: information :- }}}}}$

Properties of rhombus :

• All the sides of rhombus are congruent.

• Diagonals bisect each other at 90°

• Opposite angles of rhombus are congruent.

• Consecutive angles of rhombus are supplementary .

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