Question

example #2
$overline{kz}$, $overline{lz}$, and $overline{mz}$ are the perpendicular bisectors of $\triangle ghj$.
use the given information to find the length of each segment.
the figure is not drawn to scale.
given: $zm = 7$, $zj = 25$, $hk = 20$
find: $zh$ and $hg$
pregunta de opción múltipl
what is zh?
25 because zj = zh
20 because hk= zh
7 because zm = zh

Explanation:

Step1: Recall perpendicular bisector property

The point of concurrency of the perpendicular bisectors of a triangle (circumcenter) is equidistant from all three vertices of the triangle, so $ZJ = ZH = ZG$.

Step2: Substitute given value

We know $ZJ = 25$, so $ZH = ZJ = 25$.

Answer:

25 because ZJ = ZH