If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to......(Find using Pythagoras theorem -Remember that diagonals of a rhombus bisect each other at right angles). Single choice.

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Kazimir Nov 29, 2020

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Answer:

Question :-

If the diagonal of a rhombus are 18 cm and 24 cm respectively, then its side is equal to......

Hence the each side of the rhombus is 15cm.

Let the rhombus is ABCD, given that :

Let the Diagonal of Rhombus bisect each other at right angles.

and OB = OD =9 cm

In right ΔAOD,

AO= 12 cm and OD=9 cm

${AD}^{2}={(12)}^{2}+{(9)}^{2}$

${AD}^{2}= 144 + 81$

${AD}^{2}={(225)}^{2}$

${AD}^{2}={(15)}^{2}$

Hence the all side of rhombus are equal

320

Shurupin

Nov 29, 2020