Answer:
SP = 43 units
Step-by-step explanation:
Given question is incomplete: find the complete question in the attachment.
From the figure attached,
Length of LN = (5x - 14)
Length of SP = (2x + 3)
By the mid-segment theorem,
"Segment connecting the mid points of two sides of a triangle is parallel and half the length of the third side."
SP = [tex]\frac{1}{2}(\text{LN})[/tex]
(2x + 3) = [tex]\frac{1}{2}(5x - 14)[/tex]
4x + 6 = 5x - 14
5x - 4x = 14 + 6
x = 20
SP = (2x + 3)
= (2×20) + 3
= 43 units
Therefore, measure of SP = 43 units is the answer.
