Question

solve for ( x ) to the nearest tenth.
answer attempt 1 out of 2
( x approx )

Explanation:

Step1: Find the length of the vertical side of the right - triangle

The vertical side of the right - triangle is \(13 - 6=7\).

Step2: Apply the Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 6\), \(b = 7\) and \(c=x\).
So \(x=\sqrt{6^{2}+7^{2}}=\sqrt{36 + 49}=\sqrt{85}\).

Step3: Calculate the value of \(\sqrt{85}\)

\(\sqrt{85}\approx9.2\)

Answer:

\(9.2\)