CarliJ237082 CarliJ237082
  • 29-10-2022
  • Mathematics
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12Solve for a= ✓ [?]9aEnter the number thatgoes beneath theradical symbol.aEnter

12Solve for a 9aEnter the number thatgoes beneath theradical symbolaEnter class=

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NatanA754516 NatanA754516
  • 29-10-2022

In order to calculate the value of 'a', we can use the Pythagorean theorem, where the hypotenuse squared is equal the sum of each leg squared:

[tex]h^2=l^2_1+l^2_2[/tex]

So if the hypotenuse is 12 and the legs are 9 and 'a', we have:

[tex]\begin{gathered} 12^2=9^2+a^2 \\ 144=81+a^2 \\ a^2=144-81 \\ a^2=63 \\ a=\sqrt[]{63} \end{gathered}[/tex]

So the number beneath the radical symbol is 63.

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