Luckisnoexcuse wrote:
souvonik2k wrote:
RSTU forms a rhombus with each side =5
Join the diagonals RT and SU.
The diagonals of a rhombus are perpendicular bisectors.
Suppose they bisect at V.
Triangle RUV is a right angled triangle with RU=5,UV=5/2
By pythagoras theorem,\(\sqrt{5^2-(5/2)^2}\) =\(\sqrt{75/4}\)
=5\(\sqrt{3}\) /2
The length of the diagonal is5\(\sqrt{3}\) /2 x2=5\(\sqrt{3}\)
Answer D
Join the diagonals RT and SU.
The diagonals of a rhombus are perpendicular bisectors.
Suppose they bisect at V.
Triangle RUV is a right angled triangle with RU=5,UV=5/2
By pythagoras theorem,\(\sqrt{5^2-(5/2)^2}\) =\(\sqrt{75/4}\)
=5\(\sqrt{3}\) /2
The length of the diagonal is5\(\sqrt{3}\) /2 x2=5\(\sqrt{3}\)
Answer D
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