Question

use your notes in your packet to show work.
set up the problem:
solution x = in (rounded to the nearest hundredths.)

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(x\) and \(4\) are the legs (\(a\) and \(b\)), and \(7\) is the hypotenuse (\(c\)). So the equation is \(x^{2}+4^{2}=7^{2}\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(x\)

Take the square root of both sides: \(x=\sqrt{33}\approx5.74\)

Answer:

Set up the problem: \(x^{2}+4^{2}=7^{2}\)
Solution \(x = 5.74\) in.