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

`4√(13)`

Explanation:

Applying pythagorean theorem

`x^(2) + 9^(2) = 17^(2) \\x^(2) = 17^(2) - 9^(2)\\x = \sqrt{17^(2) - 9^(2)}`

Answer 2

Answer: x =
`4√(13)`

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 =
`√(208)`

Divide into factors:

x =
`√(16*13)`

Square root of 16:

x =
`4√(13)`