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Question
In a rhombus ABCD, AC2 + BD2 is equal to ______.
Options
AB2
2BC2
3CD2
4DA2
MCQ
Fill in the Blanks
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Solution
In a rhombus ABCD, AC2 + BD2 is equal to 4DA2.
Explanation:
For any parallelogram
AC2 + BD2 = 2(AB2 + BC2)
In a rhombus
AB = BC = CD = DA = s
So, AC2 + BD2
= 2(s2 + s2)
= 4s2
= 4 × DA2
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