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If RS=15y–3 and RU=12y, find the value of y in rhombus STUV.SVUTRy=Submit

If RS15y3 And RU12y Find The Value Of Y In Rhombus STUVSVUTRySubmit class=

Sagot :

Given:

Quadrilateral STUV is a Rhombus.

Required:

The value of y.

Explanation:

The diagonals of the Rhombus are perpendicular bisectors of each other.

Therefore.

[tex]RS\text{ = RU}[/tex]

Substituting the value in the above equation, we get

[tex]\begin{gathered} 15y\text{ - 3 = 12y} \\ 15y\text{ - 12y = 3} \\ 3y\text{ = 3} \\ y\text{ = 1} \end{gathered}[/tex]

Answer:

Thus the required value of y is 3.

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