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  • 19-08-2020
  • Mathematics
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Triangle has a leg that Triangle has a leg that measures 20 units and a hyptenuse that measures 25 units what is the length of the third side

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Аноним Аноним
  • 19-08-2020

Answer:

15

Step-by-step explanation:

Hypotenuse = 25

Opposite=20

Adjacent =?

Use Pythagoras Theorem :

[tex] {hypotenuse}^{2} = {opposite}^{2} + {adjacent}^{2} [/tex]

Input values

[tex] {25}^{2} = {20}^{2} + {x}^{2} \\ 625 = 400 + {x}^{2} \\ 625 - 400 = {x}^{2} \\ 225 = {x}^{2} [/tex]

Square root both sides

[tex] \sqrt{225} = \sqrt{ {x}^{2} } \\ 15 = x \\ x = 15[/tex]

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