Question

directions: solve for x. round your answer to

1. x =

19
16
x

Explanation:

Step1: Apply the Pythagorean theorem

For a right - triangle, \(a^{2}+b^{2}=c^{2}\), where \(a = 16\), \(b = 19\), and \(c=x\).
So, \(x^{2}=19^{2}+16^{2}\).

Step2: Calculate the squares

\(19^{2}=361\) and \(16^{2}=256\).
Then \(x^{2}=361 + 256\).

Step3: Sum the values

\(x^{2}=617\).

Step4: Solve for \(x\)

\(x=\sqrt{617}\approx24.8\).

Answer:

\(24.8\)