Question

1. find the missing side of each right triangle. round your answers to the nearest tenth, if necessary. 5m 4m

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with hypotenuse \(c\) and legs \(a\) and \(b\), \(a^{2}+b^{2}=c^{2}\). Here \(c = 5\) m, \(a=4\) m, and \(b = x\). So \(x^{2}+4^{2}=5^{2}\).

Step2: Simplify the equation

\(x^{2}+16 = 25\). Then \(x^{2}=25 - 16\).

Step3: Solve for \(x\)

\(x^{2}=9\), so \(x=\sqrt{9}\).

Answer:

\(x = 3\) m