what is the length of the hypotenuse? if necessary, round to the nearest tenth.\n c = \\boxed{} miles

what is the length of the hypotenuse? if necessary, round to the nearest tenth.\n c = \\boxed{} miles

what is the length of the hypotenuse? if necessary, round to the nearest tenth.\n c = \\boxed{} miles

Answer

Explanation:

Step1: Apply Pythagorean theorem

For a right triangle, ( a^2 + b^2 = c^2 ), where ( a = 4 ), ( b = 5 ). So ( 4^2 + 5^2 = c^2 ).

Step2: Calculate squares

( 4^2 = 16 ), ( 5^2 = 25 ), so ( 16 + 25 = c^2 ), ( 41 = c^2 ).

Step3: Find square root

( c = \sqrt{41} \approx 6.4 ) (rounded to nearest tenth).

Answer:

6.4