Question

solve for x. round your answer to the nearest tenth.
answer attempt 1 out of 2
additional solution no solution
x= submit answer

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(c\) is the hypotenuse. Here, \(x\) is the hypotenuse, \(a = 13\), \(b = 10\). So \(x=\sqrt{13^{2}+10^{2}}\).

Step2: Calculate the squares

\(13^{2}=169\), \(10^{2}=100\). Then \(x=\sqrt{169 + 100}=\sqrt{269}\).

Step3: Find the square root

\(\sqrt{269}\approx16.4\)

Answer:

\(16.4\)