Question

find x. round your answer to the nearest tenth if necessary. 21 8 x

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(c = 21\), \(b = 8\), and \(a=x\). So \(x^{2}+8^{2}=21^{2}\).

Step2: Simplify the equation

\(x^{2}+64 = 441\). Then \(x^{2}=441 - 64\).
\(x^{2}=377\).

Step3: Solve for \(x\)

\(x=\sqrt{377}\approx19.4\)

Answer:

\(x\approx19.4\)