Question

find the length of c on the graph. when necessary, round to the nearest tenth.

Explanation:

Step1: Determine the lengths of the two legs

From the graph, the horizontal leg length \(a = 5\) (from \(x=-3\) to \(x = 2\)), and the vertical leg length \(b=1\) (from \(y = 1\) to \(y=2\)).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(c=\sqrt{a^{2}+b^{2}}\). Substitute \(a = 5\) and \(b = 1\) into the formula: \(c=\sqrt{5^{2}+1^{2}}=\sqrt{25 + 1}=\sqrt{26}\approx5.1\)

Answer:

\(5.1\)