Question

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

Answer 1

Given:

Quadrilateral STUV is a Rhombus.

Required:

The value of y.

Step-by-step explanation:

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

Therefore.

`RS\text{ = RU}`

Substituting the value in the above equation, we get

`\begin{gathered} 15y\text{ - 3 = 12y} \\ 15y\text{ - 12y = 3} \\ 3y\text{ = 3} \\ y\text{ = 1} \end{gathered}`

Answer:

Thus the required value of y is 3.