Given:
Given that the length of VX is 15.
The length of WX is 7.
We need to determine the altitude UX of the given triangle.
Altitude UX:
The value of the altitude UX can be determined using the altitude rule theorem.
Applying the theorem, we have;
[tex]\frac{left}{altitude}=\frac{altitude}{right}[/tex]
Substituting left = UX, altitude = VX and right = VW in the above formula, we get;
[tex]\frac{UX}{VX}=\frac{VX}{XW}[/tex]
Substituting the values, we get;
[tex]\frac{UX}{15}=\frac{15}{7}[/tex]
Multiplying both sides of the equation by 15, we have;
[tex]UX=\frac{15 \times 15}{7}[/tex]
[tex]UX=\frac{225}{7}[/tex]
[tex]UX=32.14[/tex]
Thus, the length of UX is 32.14 units.
