Question

What is the value of x, rounded to the nearest tenth?

Answer 1

Answer:

x ≈ 31.8

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 12² = 34²

x² + 144 = 1156 ( subtract 144 from both sides )

x² = 1012 ( take square root of both sides )

x = $\sqrt{1012}$ ≈ 31.8 ( to the nearest tenth )

Answer 2

Answer:

20.8

Step-by-step explanation:

$24 = \sqrt{ {12}^{2} + {x}^{2} }$

${24}^{2} = 144 + {x}^{2}$

$576 - 144 = {x}^{2}$

${x}^{2} = 432$

x=20.8