Math, asked by sirshosingharoy66, 8 months ago

If the diagonals of a rhombus are 10 cm and 24 cm in length respectively, find the length of each side of the rhombus.​

Answers

Answered by hardikkadd6034
1

Answer:

Thank you for this nice question first of all.

AS we know that diagonals of rhombus bisect each other and they also form a right angle triangle in each part so in a rhombus there ARE FOUR right angle triangle. if we imagine the SIDES of triangles will be half of diagonals.

AS we know that diagonals of rhombus bisect each other so the one side of the triangle will be 5cm and other will be 12 CM of course.

so by Pythagoras theorem, the length of one side of the rhombus will be under root 5 square + 12 square which will come to 13 sold each side of the rhombus is 13 cm

hope you like this answer !!

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Answered by Ves1857
3

Diagonals of rhombus are perpendicular bisector so.

In ∆AOB

AO = 24/2

AO = 12

and

BO = 10/2

BO = 5

By phythagores theorem

AB² = BO² + AO²

AB² = 5² + 12²

AB² = 25 + 144

AB² = 169

AB = √169

AB = 13

so AB=BC=CD=AD = 13 .... Side of a rhombus

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