Question

1. solve for x. round your answer to the nearest hundredth. 17 cm 6 cm 18.02 cm 23.00 cm 11.00 cm 15.91 cm

Explanation:

Step1: Apply Pythagorean theorem

In a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here \(c = 17\) cm, \(a=6\) cm and \(b = x\). So \(x=\sqrt{c^{2}-a^{2}}\).

Step2: Substitute values

Substitute \(c = 17\) and \(a = 6\) into the formula: \(x=\sqrt{17^{2}-6^{2}}=\sqrt{289 - 36}=\sqrt{253}\).

Step3: Calculate the square root

\(\sqrt{253}\approx15.91\) (rounded to the nearest hundredth).

Answer:

\(15.91\) cm