Question

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

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\). Let \(a = 8\), \(b=14\), and we want to find \(c\).
$$c=\sqrt{a^{2}+b^{2}}$$

Step2: Substitute values

Substitute \(a = 8\) and \(b = 14\) into the formula:
$$c=\sqrt{8^{2}+14^{2}}=\sqrt{64 + 196}=\sqrt{260}$$

Step3: Calculate the square - root

\(\sqrt{260}\approx16.1\) (rounded to the nearest tenth)

Answer:

\(16.1\)