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Point P is the circumcenter of AXYZ.

Use the given information to find PX.
PY = 5x - 4
PZ = 4x + 11

User ThriceGood
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1 Answer

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The length of PX is 71 units.

To find the length of PX, we can use the fact that point P is the circumcenter of triangle AXYZ. The circumcenter is the point where the perpendicular bisectors of the sides intersect.

Given that PY = 5x - 4 and PZ = 4x + 11, we need to find the value of x to determine the length of PX.

To do this, we can set the distances PY and PZ equal to each other, since point P is equidistant from Y and Z:

5x - 4 = 4x + 11

Solving this equation, we find:

x = 15

Now that we know the value of x, we can substitute it back into the given equations to find the lengths of PY and PZ:

PY = 5(15) - 4 = 71

PZ = 4(15) + 11 = 71

Since point P is equidistant from Y and Z, the length of PX is also 71.

Therefore, the length of PX is 71 units.

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