each side of a rhombus is 13 cm and one diagonal is 10 cm. find length of its other diagonal.
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each side of a rhombus is 13 cm and one diagonal is 10 cm. find length of its other diagonal.
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Verified answer
Given,
Side of rhombus =13 cm
Length of diagonal AC=10 cm
∴ OC=5 cm
Since, the diagonals of a rhombus bisect each other at right angles.
So, △BOC is right-angled.
Then, by Pythagoras Theorem we have
BC ² =OC ² +OB²
⇒13² =5² +OB ²
⇒OB² =169−25=144
⇒OB= √144 =12cm
Hence,
diagonal BD=2×OB=2×12=24 cm