LocklinE168469 LocklinE168469
  • 31-10-2022
  • Mathematics
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Find the length of the missing side. Leave your answer in simplest radical form.15 ydO 394O 4√2O 2√1405√813 ydPreviousXK

Find the length of the missing side Leave your answer in simplest radical form15 ydO 394O 42O 21405813 ydPreviousXK class=

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TyrianaR159566 TyrianaR159566
  • 31-10-2022

Given the figure of a right-angle triangle

As shown, the hypotenuse = 15 yd

And one of the legs = 13 yd

We will find the side (x) using the Pythagorean theorem as follows:

[tex]x^2+13^2=15^2[/tex]

Solve the equation to find (x):

[tex]\begin{gathered} x^2=15^2-13^2 \\ x^2=56 \\ x=\sqrt{56}=\sqrt{4*14}=\sqrt{4}*\sqrt{14} \\ x=2\sqrt{14} \end{gathered}[/tex]

So, the answer will be 2√14

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