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Question

Find the area of a rhombus, each side of which measures 20 cm and one of whose diagonals is 24 cm.


Solution

Given:Side of the rhombus=20 cm Length of a diagonal=24 cmWe know: If d1 and d2 are the lengths of the diagonals of the rhombus, thenside of the rhombus=12d12+d22So, using the given data to find the length of the other diagonal of the rhombus:20=12242+d2240=242+d22Squaring both sides to get rid of the square root sign:402=242+d22d22=1600-576=1024d2=1024=32 cm Area of the rhombus=12(24×32)=384 cm2

Mathematics
RD Sharma (2019, 2020)
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