yiookes1 yiookes1
  • 21-05-2021
  • 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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nguyendangquynhchau
nguyendangquynhchau nguyendangquynhchau
  • 24-05-2021

Answer:

x= 2[tex]\sqrt{6}[/tex]

Step-by-step explanation:

To solve this problem we first observe the Pythagoras equation. If a=x and b = 7 are the lengths of the legs of a right triangle and c= [tex]\sqrt{73}[/tex] is the length of the hypotenuse, then the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse.

This relationship is represented by the formula:

a*a + b*b = c*c

[tex]x^{2}[/tex] + [tex]7^{2}[/tex] = [tex](\sqrt{73} )^2[/tex]

=> x= [tex]2\sqrt{6}[/tex]

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