Question

10 mi.
9 mi.
what is the length of the missing leg? if necessary, round to the nea
a = miles
save answer

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 10 \), \( b = 9 \), solve for \( a \): \( a^2 = c^2 - b^2 \)
\( a^2 = 10^2 - 9^2 = 100 - 81 = 19 \)

Step2: Take square root

\( a = \sqrt{19} \approx 4.358 \), round to nearest (assuming nearest tenth or whole, but \(\sqrt{19}\approx4.4\) or 4, but likely to one decimal: \( \approx 4.4 \))
Wait, precise calculation: \( \sqrt{19} \approx 4.35889894 \), so to nearest tenth: 4.4, to nearest whole: 4. But let's check:

Wait, \( 10^2 - 9^2 = 100 - 81 = 19 \), so \( a = \sqrt{19} \approx 4.4 \) (rounded to nearest tenth) or 4 (whole). But the problem says "round to the nea" (probably nearest tenth or hundredth). Let's compute \( \sqrt{19} \approx 4.36 \) (to nearest hundredth) or 4.4 (tenth).

Answer:

\( \approx 4.4 \) (or more precisely \( \sqrt{19} \approx 4.36 \))