The length of the side of the rhombus is 10cm and one of its diagonals is 16cm.find the length of the other diagonal.
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Step-by-step explanation:
We have,
ABCD is a rhombus with side 10 cm and diagonal BD = 16 cm
We know that diagonals of a rhombus bisect each other at 90°
∴ BO = OD = 8 cm
In ΔAOB, by pythagoras theorem
AO² + BO2 = AB2
⇒ AO² + 82 = 102
⇒ AO²= 100 − 64 = 36
⇒ AO =√ 36 = 6 cm [By above property]
Hence, AC = 6 + 6 = 12 cm
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