Question

If VX=15 and WX=7, what is UX? Write your answer as a whole number, improper fraction, or as a decimal rounded to the nearest hundredth.

Answer 1

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;

$\frac{left}{altitude}=\frac{altitude}{right}$

Substituting left = UX, altitude = VX and right = VW in the above formula, we get;

$\frac{UX}{VX}=\frac{VX}{XW}$

Substituting the values, we get;

$\frac{UX}{15}=\frac{15}{7}$

Multiplying both sides of the equation by 15, we have;

$UX=\frac{15 \times 15}{7}$

$UX=\frac{225}{7}$

$UX=32.14$

Thus, the length of UX is 32.14 units.