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CBSE Class 10 Answered

ABCD is a square and AB =1. Equilateral trianglesAYB and CXD are drawn such that X and Y are inside the square. What is the length of XY?
Asked by vikasg13.hardware | 17 Jun, 2018, 10:46: AM
answered-by-expert Expert Answer
begin mathsize 16px style Area space of space equilateral space triangle equals fraction numerator square root of 3 over denominator 4 end fraction straight a squared area equals fraction numerator square root of 3 over denominator 4 end fraction area equals 1 half cross times base cross times height fraction numerator square root of 3 over denominator 4 end fraction equals 1 half cross times 1 cross times height height equals fraction numerator square root of 3 over denominator 2 end fraction XY equals AD minus open parentheses AD minus fraction numerator square root of 3 over denominator 2 end fraction close parentheses plus open parentheses AD minus fraction numerator square root of 3 over denominator 2 end fraction close parentheses equals square root of 3 minus 1 end style
Answered by Arun | 18 Jun, 2018, 12:08: PM

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