Question

SP=2x+3, and LN=5x−14. Find SP.

Answer 1

SP = 43 units

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 =
`(1)/(2)(\text{LN})`

(2x + 3) =
`(1)/(2)(5x - 14)`

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.