Question

find the length of the third side. if necessary, round to the nearest tenth.
answer attempt 1 out of 2
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Explanation:

Step1: Identify triangle type

It's a right triangle, so use Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(a = 6\), \(b = 7\), \(c\) is the hypotenuse.

Step2: Apply the theorem

Calculate \(c = \sqrt{6^2 + 7^2} = \sqrt{36 + 49} = \sqrt{85}\).

Step3: Round to nearest tenth

\(\sqrt{85} \approx 9.2\) (since \(9.2^2 = 84.64\), \(9.3^2 = 86.49\), closer to 9.2).

Answer:

9.2