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CBSE Class 9 Answered

Prove that the sum of the squares of a rhombus is equal to the sum of the squares of its diagnols. (3 marks) 
Asked by Prajvalsaraff | 05 Jan, 2019, 10:48: PM
answered-by-expert Expert Answer

All the sides of rhombus are equal.  Diagonals are mutual perpendicular bisectors.
 
Hence from figure, we see that begin mathsize 16px style open parentheses d subscript 1 over 2 close parentheses squared space plus space open parentheses d subscript 2 over 2 close parentheses squared space equals space a squared space space o r space d subscript 1 superscript 2 space plus space d subscript 2 superscript 2 space equals space 4 space a squared end style
Answered by Thiyagarajan K | 06 Jan, 2019, 12:31: PM

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