Question

Find the value of x.​

Answer 1

Answer:

x = 6

Step-by-step explanation:

The segment from O to the chord is a perpendicular bisector.

The triangle formed is right with legs x and 8 and hypotenuse 10

Using Pythagoras' identity in the right triangle, then

x² + 8² = 10²

x² + 64 = 100 ( subtract 64 from both sides )

x² = 36 ( take the square root of both sides )

x = $\sqrt{36}$ = 6

Answer 2

Answer:

Step-by-step explanation:

diameter = 20

radius  = 10 units

Length of Chord = 16 units

The perpendicular from the center to a chord, bisect the chord.

So, base = 16/2 = 8units

Use Pythagorean theorem.

x² + 8² = 10²

x² + 64 = 100

x² = 100 -64

x² = 36

x = √36 = √6*6

x = 6 units