AntwuanJ193919 AntwuanJ193919
  • 03-11-2022
  • Mathematics
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What is the measure of the missing side of the right triangle? Sad see is the hypotenuse. Sides a and b are the legs

What is the measure of the missing side of the right triangle Sad see is the hypotenuse Sides a and b are the legs class=

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GwynnethN490696 GwynnethN490696
  • 03-11-2022

Using the Pythagorean theorem, the formula is:

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

Where:

a = 7.1 km

c = 8.4 km

And we will find the side b.

Substitute the values:

[tex]7.1^2+b^2=8.4^2[/tex]

And solve for b:

[tex]\begin{gathered} 50.41+b^2=70.56 \\ \text{subtract 50.41 on both sides} \\ 50.41+b^2-50.41=70.56-50.41 \\ b^2=20.15 \\ b=\sqrt[]{20.15}=4.5 \end{gathered}[/tex]

Answer: b = 4.5 km

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