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

Explanation:

Step1: Identify the triangle type

This is a right - triangle, so we can use the Pythagorean theorem. The Pythagorean theorem states that for a right - triangle with legs (a) and (b) and hypotenuse (c), (c^{2}=a^{2}+b^{2}). Here, (a = 45) m and (b=20) m.

Step2: Apply the Pythagorean theorem

Substitute the values of (a) and (b) into the formula: (c^{2}=45^{2}+20^{2}). Calculate (45^{2}=2025) and (20^{2} = 400). Then (c^{2}=2025 + 400=2425).

Step3: Solve for (c)

Take the square root of both sides: (c=\sqrt{2425}). Calculate (\sqrt{2425}\approx49.2) (rounded to the nearest tenth).

Answer:

(49.2)