emmalawler emmalawler
  • 11-06-2020
  • Mathematics
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Find the third side in simplest radical form

Find the third side in simplest radical form class=

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Hrishii
Hrishii Hrishii
  • 11-06-2020

Answer:

[tex] 2 \sqrt{71} \: units[/tex]

Step-by-step explanation:

Given is a right angled triangle in which third side is the hypotenuse.

Therefore, by Pythagoras theorem:

[tex]thid \: side = \sqrt{ {15}^{2} + ( \sqrt{59} )^{2} } \\ \\ = \sqrt{225 + 59} \\ \\ = \sqrt{284} \\ \\ = \sqrt{ {2}^{2} \times 71 } \\ \\ = 2 \sqrt{71} \: units[/tex]

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