Given:
Given that a kite having the lengths
[tex]\begin{gathered} y-4 \\ x+5 \\ 2x+5 \\ x+12 \end{gathered}[/tex]
Required:
To find the value of the variable and the lengths of the sides of the kite.
Explanation:
From the given figure
[tex]\begin{gathered} 2x+5=x+12 \\ \\ 2x-x=12-5 \\ \\ x=7 \end{gathered}[/tex]
Now the length of the sides become
[tex]\begin{gathered} 2x+5=2(7)+5 \\ =14+5 \\ =19 \end{gathered}[/tex][tex]\begin{gathered} x+12=7+12 \\ =19 \end{gathered}[/tex]
And
[tex]\begin{gathered} x+5=7+5 \\ =12 \end{gathered}[/tex]
Now the value of y is
[tex]\begin{gathered} y-4=12 \\ y=12+4 \\ y=16 \end{gathered}[/tex]
Final Answer:
The value of variable is
[tex]\begin{gathered} x=7 \\ y=16 \end{gathered}[/tex]
The sides lengths are 12,12,19 and 19.
