Given:
The given triangle is a right triangle.
The length of a is 5 inches.
The length of b is 4.5 inches.
We need to determine the length of c.
Length of c:
The length of c can be determined using the Pythagorean theorem.
Thus, we have;
[tex]c^2=a^2+b^2[/tex]
Substituting the values of a and b, we get;
[tex]c^2=5^2+4.5^2[/tex]
Simplifying, we get;
[tex]c^2=25+20.25[/tex]
[tex]c^2=45.25[/tex]
Taking square root on both sides, we get;
[tex]c=6.72[/tex]
Thus, the length of c is 6.72 inches.
Hence, Option A is the correct answer.
