JitzelP600939 JitzelP600939
  • 03-11-2022
  • Mathematics
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Find the length of the third side. If necessary, write in simplest radical form. 10 Answer Submit Answer

Find the length of the third side If necessary write in simplest radical form 10 Answer Submit Answer class=

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FajrQ709087 FajrQ709087
  • 03-11-2022

To find a missing side in a right triangle you use the Pythagoras theorem:

[tex]h^2=(l_1)^2+(l_2)^2[/tex]

You have:

h=10

l1=9

[tex]\begin{gathered} 10^2=9^2+(l_2)^2 \\ 100=81+(l_2)^2 \\ 100-81=(l_2)^2 \\ 19=(l_2)^2 \\ \sqrt[]{19}=l_2 \\ \end{gathered}[/tex]Then, the missig side length is square root of 19
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