Question

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

Answer 1

Answer:

The answer is

2√74 or 17.20 units

Step-by-step 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

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

We have the final answer as

2√74 or 17.20 units

Hope this helps you