LachlynT456891 LachlynT456891
  • 25-10-2022
  • Mathematics
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Find the missing dimension of the figure shown to the right round to the nearest 10th

Find the missing dimension of the figure shown to the right round to the nearest 10th class=

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KyleW452604 KyleW452604
  • 25-10-2022

Given the right triangle:

The Pythagorean theorem states that:

[tex]a^2+b^2=c^2[/tex]

From the problem, we identify:

[tex]\begin{gathered} b=14^{\prime}^{\prime} \\ c=19^{\prime}^{\prime} \end{gathered}[/tex]

And a is our missing value. Using the Pythagorean theorem:

[tex]\begin{gathered} a+14^2=19^2 \\ a^2=361-196 \\ a=\sqrt[]{165} \\ a=12.8^{\prime}^{\prime} \end{gathered}[/tex]

Ver imagen KyleW452604
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