Question

pythagorean theorem and trig review due thursday by 12:15pm points 0 submitting an external tool available until oct 3 at 11:59pm solve for x to the nearest tenth. deltamath pythagorean theorem and trig review due: october 2 at 12:15 pm grade: 17% scientific calculator graphing calculator brenden white log out

Explanation:

Step1: Identify right - triangle sides

We can consider the vertical and horizontal lengths to form a right - triangle. The vertical side of the right - triangle is \(5 - 3=2\) and the horizontal side is \(4\).

Step2: Apply Pythagorean theorem

The Pythagorean theorem is \(a^{2}+b^{2}=c^{2}\), where \(a = 2\), \(b = 4\), and \(c=x\). So \(x=\sqrt{2^{2}+4^{2}}\).

Step3: Calculate \(x\)

First, calculate \(2^{2}+4^{2}\): \(2^{2}=4\), \(4^{2}=16\), then \(2^{2}+4^{2}=4 + 16=20\). So \(x=\sqrt{20}\approx4.5\).

Answer:

\(4.5\)