The value of P is calculated with similar triangle to get P = 88
How to find the value of P
The value of P is solved using the provided information.
Since the figure is the midpoint the proportion to be used is as follows
UV / TW = 1 / 2
substituting the values
(P - 22) / (P - 55) = 2 / 1
cross multiplying
(P - 22) = 2(P - 55)
P - 22 = 2P - 110
-22 + 110 = 2P - P
P = 88
complete question
In a triangle SUV, S is the vertex. T is the midpoint of SU, W is the midpoint of SV. If UV = p - 22 and TW = p - 55 , what is the value of p