Question

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

Explanation:

Step1: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 7\), \(b=14\), and \(c\) is the hypotenuse (the third side).

Step2: Substitute values into the formula

Substitute \(a = 7\) and \(b = 14\) into \(a^{2}+b^{2}=c^{2}\). We get \(7^{2}+14^{2}=c^{2}\), which is \(49 + 196=c^{2}\), so \(c^{2}=245\).

Step3: Solve for \(c\)

Take the square root of \(245\), \(c=\sqrt{245}\approx15.7\)

Answer:

\(15.7\)