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  • 03-11-2022
  • Mathematics
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Find the missing side cround to is inches 3 you x inches 1 10 inches

Find the missing side cround to is inches 3 you x inches 1 10 inches class=

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MarvelousF532644 MarvelousF532644
  • 03-11-2022

Given,

The measure of the hypotenuse is 15 inches.

The measure of the base is 10 inches.

The measure of the perpendicular is x inches.

By Pythagoras theorem,

[tex]\text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2[/tex]

Substituting the values then,

[tex]\begin{gathered} \text{hypotenuse}^2=\text{perpendicular}^2+\text{base}^2 \\ 15^2=x^2+10^2 \\ 225=x^2+100 \\ 225-100=x^2 \\ x=\sqrt[]{125} \\ x\approx11.18 \end{gathered}[/tex]

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