Answer:
10.3
Step-by-step explanation:
The question is asking to find the length of the hypotenuse of the triangle. This requires us to use the Pythagorean theorem. The legs measure 9 and 5, so we use these to solve for c.
[tex]9^{2} + 5^{2} =c^{2} \\81 + 25 = c^{2} \\106 = c^{2} \\[/tex]
We find the square root of both sides to find the value of c.
10.295 ≈ c
Rounded to the nearest tenth, c ≈ 10.3. The answer is 10.3
