Question

If the points (-8, 7) and T (6,-3) are on a line segment, find the length of ST.​

Answer 1

The answer is

2√74 or 17.20 units

Explanation:

The length of w line segment between two points can be found by using the formula

`d = \sqrt{ ({x1 - x2})^(2) + ({y1 - y2})^(2) } \\`

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

S(-8, 7) and T (6,-3)

The length of ST is

`|ST| = \sqrt{ ({ - 8 - 6})^(2) + ({7 + 3})^(2) } \\ = \sqrt{ ({ - 14})^(2) + {10}^(2) } \\ = √(196 + 10) \\ = √(296) \\ = 2 √(74) \\ = 17.2046505...`

We have the final answer as

2√74 or 17.20 units

Hope this helps you