Question

find the length of the third side. if necessary, round to the nearest tenth.
image of a right triangle with legs 3 and 6

Explanation:

Step1: Identify triangle type

It's a right triangle, so use Pythagorean theorem: \(a^2 + b^2 = c^2\), where \(a = 3\), \(b = 6\), \(c\) is hypotenuse.

Step2: Apply Pythagorean theorem

Substitute values: \(c^2 = 3^2 + 6^2 = 9 + 36 = 45\)

Step3: Solve for \(c\)

Take square root: \(c = \sqrt{45} \approx 6.7\) (rounded to nearest tenth)

Answer:

\(6.7\)