Question

t.3 pythagorean theorem: find the missing leg or hypotenuse l...
what is the length of the missing leg? if necessary, round to the nearest tenth.
b = meters

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse and \(a,b\) are the legs. Here \(c = 6\), \(a=3\), and we need to find \(b\). So \(b^{2}=c^{2}-a^{2}\).

Step2: Substitute values

Substitute \(c = 6\) and \(a = 3\) into the formula: \(b^{2}=6^{2}-3^{2}=36 - 9=27\).

Step3: Solve for \(b\)

\(b=\sqrt{27}\approx5.2\) (rounded to the nearest tenth).

Answer:

\(5.2\)