SOLUTION: Find the length of the segment that joins (-5, 4) and (6, -3). Round to the nearest tenth.

Algebra ->  Length-and-distance -> SOLUTION: Find the length of the segment that joins (-5, 4) and (6, -3). Round to the nearest tenth.       Log On


   

Question 1154084: Find the length of the segment that joins (-5, 4) and (6, -3). Round to the nearest tenth.
Found 2 solutions by josgarithmetic, Edwin McCravy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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length of the segment that joins (-5, 4) and (6, -3).
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length of the segment that joins (h, k) and (p, v).
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sqrt%28%28p-h%29%5E2%2B%28v-k%29%5E2%29----------This is the Distance Formula. Substitute YOUR given values and compute.

Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


Draw in the two lines in red:



Use the Pythagorean theorem:

Count the red horizontal and vertical sides of the triangle.

The vertical side is 7 units long and the horizontal side is 11
units long.

The length of the hypotenuse is the distance between the two points.

So 

  

Answer: 13.03840481 rounded off as your teacher wanted, or in simplest radical form:

sqrt%28170%29

Edwin