Find the value of x if necessary round your answer to the nearest tenth.

Solution:

Given,

Chord = 12

From the figure above, the chord is given with a line perpendicular to it.

We can say that chord 12 is bisected by the 7 long line from the center which gives us 6 each of the two parts of the chord.

Since they are forming a right angled triangle, we can use pythagoras theorem to find x, which can be seen as radius at the same time hypotenuse of the right angled triangle.

x² = 7² + (12/2)²

x² = 49 + 36

x² = 85

x = 9.2

Therefore, the value of x is 9.2

Find the value of x if necessary round your answer to the nearest tenth.

Summary:

The value of x rounded to the nearest tenth is 9.2