Question

8
1 point
Solve for x, and write your answer in simplest radical form or as a decimal rounded to the nearest tenth
Copy and paste this symbol in your answer for the radical symbol: v
X
X= type your answer..
17
9

Answer 1

Answer: x = $4\sqrt{13}$

Step-by-step explanation:

      We can use the Pythagorean theorem to help us solve, where a and b are the legs and c is the hypotenuse.

Given:

  a² + b² = c²

Substitute known values:

  9² + x² = 17²

Square:

  81 + x² = 289

Subtract 81 from both sides:

  x² = 208

Square root of both sides:

  x = $\sqrt{208}$

Divide into factors:

  x = $\sqrt{16*13}$

Square root of 16:

  x = $4\sqrt{13}$

Answer 2

Answer:

$4\sqrt{13}$

Step-by-step explanation:

Applying pythagorean theorem

$x^{2} + 9^{2} = 17^{2} \\x^{2} = 17^{2} - 9^{2}\\x = \sqrt{17^{2} - 9^{2}}$