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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=

Sagot :

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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