AvigdorS749624 AvigdorS749624
  • 03-11-2022
  • Mathematics
contestada

Sket the right triangle and find the length of decide not given it necessari approximate the length to the nearest thousand

Sket the right triangle and find the length of decide not given it necessari approximate the length to the nearest thousand class=

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HalieA410472 HalieA410472
  • 03-11-2022

Since we are dealing with a right triangle, we can use the Pythagorean theorem, shown below

[tex]\begin{gathered} H^2=L^2_1+L^2_2 \\ H\to\text{ hypotenuse} \\ L_1,L_2\to\text{ legs} \end{gathered}[/tex]

In our case,

[tex]\begin{gathered} H=15,L_1=3 \\ \Rightarrow L^2_2=15^2-3^2=216 \\ \Rightarrow L_2=\sqrt[]{216}=14.6969\ldots\approx14.697 \\ \Rightarrow L_2=14.697 \end{gathered}[/tex]

The answer is 14.697

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