Question

2.4 mi.
a
1.9 mi.
what is the length of the missing leg? if necessary, round to the nearest tenth.
a = \boxed{} miles
submit

Explanation:

Step1: Recall Pythagorean theorem

For a right triangle, \( c^2 = a^2 + b^2 \), where \( c \) is hypotenuse, \( a,b \) are legs. Here, \( c = 2.4 \), \( b = 1.9 \), solve for \( a \): \( a^2 = c^2 - b^2 \)

Step2: Calculate \( c^2 - b^2 \)

\( c^2 = 2.4^2 = 5.76 \), \( b^2 = 1.9^2 = 3.61 \), so \( a^2 = 5.76 - 3.61 = 2.15 \)

Step3: Take square root of \( a^2 \)

\( a = \sqrt{2.15} \approx 1.5 \) (rounded to nearest tenth)

Answer:

\( 1.5 \)