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

Explanation:

Step1: Identify the formula

For a right triangle, use the Pythagorean theorem: (a^2 + b^2 = c^2), where (a = 4), (b = 3), and (c) is the hypotenuse.

Step2: Substitute values

Substitute (a = 4) and (b = 3) into the formula: (4^2 + 3^2 = c^2).

Step3: Calculate squares

(4^2 = 16), (3^2 = 9), so (16 + 9 = c^2).

Step4: Sum the values

(16 + 9 = 25), so (c^2 = 25).

Step5: Solve for c

Take the square root: (c = \sqrt{25} = 5).

Answer:

5