nydeyasutton4 nydeyasutton4
  • 20-05-2021
  • Mathematics
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Look at the right triangle below. Find the lengths of a and b using the given coordinates of the endpoints of
the hypotenuse

Look at the right triangle below Find the lengths of a and b using the given coordinates of the endpoints of the hypotenuse class=

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sqdancefan
sqdancefan sqdancefan
  • 21-05-2021

9514 1404 393

Answer:

  a = 4

  b = 6

Step-by-step explanation:

The given end points are (2, 1) and (8, 5).

The value of 'a' is the difference of the y-coordinates: 5 - 1 = 4.

The value of 'b' is the difference of the x-coordinates: 8 - 2 = 6.

The lengths a and b are 4 and 6, respectively.

_____

Additional comment

The Pythagorean theorem tells you the length of the hypotenuse is ...

  √(4² +6²) = √52 = 2√13

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