Answer:
x = 4.1
Step-by-step explanation:
The line segment from the centre to the chord is a perpendicular bisector Thus one half of the chord = 15.6 ÷ 2 = 7.8
Consider the right triangle formed with legs x and 7.8 and hypotenuse 8.8
Using Pythagoras' identity on the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other two sides, then
x² + 7.8² = 8.8²
x² + 60.84 = 77.44 ( subtract 60.84 from both sides )
x² = 16.6 ( take the square root of both sides )
x = [tex]\sqrt{16.6}[/tex] ≈ 4.1
