Question

Geometry question 2: give the length of VU.Circumcenter and Incenter.

Answer 1

Explanation

The picture tells us that sides OV and VU have the same length. With this information we can construct an equation for x:

$7x+2=3x+10$

Let's substract 3x and 2 from both sides of this equation:

$\begin{gathered} 7x+2-3x-2=3x+10-3x-2 \\ 4x=8 \end{gathered}$

Then we can divide both sides by 4:

$\begin{gathered} \frac{4x}{4}=\frac{8}{4} \\ x=2 \end{gathered}$

Then the length of VU is given by:

$3x+10=3*2+10=16$Answer

Then the answer is 16.