Question

If the length of a = 5 in and the length of b = 4.5 in, what is the length of c?

A.6.72
B.5.87
C.4.65
D.3.69

Answer 1

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;

`c^2=a^2+b^2`

Substituting the values of a and b, we get;

`c^2=5^2+4.5^2`

Simplifying, we get;

`c^2=25+20.25`

`c^2=45.25`

Taking square root on both sides, we get;

`c=6.72`

Thus, the length of c is 6.72 inches.

Hence, Option A is the correct answer.