Question

directions: find the value of x. 1

Explanation:

Step1: Apply Pythagorean theorem

For a right - triangle with legs \(a = 7\), \(b = 10\) and hypotenuse \(x\), the Pythagorean theorem is \(a^{2}+b^{2}=x^{2}\). So \(x^{2}=7^{2}+10^{2}\).

Step2: Calculate the squares

\(7^{2}=49\) and \(10^{2}=100\), then \(x^{2}=49 + 100=149\).

Step3: Solve for \(x\)

\(x=\sqrt{149}\)

Answer:

\(\sqrt{149}\)