Question

Point T is on line segment SU. Given TU = 11 and SU=20, determine the length of ST

Answer 1

Answer: ST = 9

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 11

SU = 20

Given expression deducted from the segment addition postulate

ST + TU = SU

Substitute values into the expression

ST + 11 = 20

Subtract 11 on both sides

ST + 11 - 11 = 20 - 11

`\boxed{ST =9}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

ST = 9

Explanation:

ST + TU = SU , substitute values

ST + 11 = 20 ( subtract 11 from both sides )

ST = 9