Question

4 mi. 1 mi. b what is the length of the missing leg? if necessary, round to the nearest tenth. b = miles submit

Explanation:

Step1: Identify the formula (Pythagorean theorem)

For a right triangle, the Pythagorean theorem is \(a^2 + b^2 = c^2\), where \(c\) is the hypotenuse, and \(a\), \(b\) are the legs. Here, hypotenuse \(c = 4\) mi, one leg \(a = 1\) mi, find \(b\). Rearranging the formula: \(b=\sqrt{c^{2}-a^{2}}\)

Step2: Substitute the values

Substitute \(c = 4\) and \(a = 1\) into the formula: \(b=\sqrt{4^{2}-1^{2}}\)

Step3: Calculate the squares

Calculate \(4^{2}=16\) and \(1^{2}=1\), so \(b=\sqrt{16 - 1}\)

Step4: Subtract inside the square root

\(16-1 = 15\), so \(b=\sqrt{15}\)

Step5: Compute the square root and round

\(\sqrt{15}\approx3.9\) (rounded to the nearest tenth)

Answer:

\(3.9\)