Answer:
3.1 ft
Step-by-step explanation:
The segment from the centre of the circle to the chord is a perpendicular bisector.
Thus the third side of the right triangle is half of x
let the third side be a then x = 2a
Applying Pythagoras' identity to the right triangle with hypotenuse 2.1 then
a² + 1.4² = 2.1²
a² + 1.96 = 4.41 ( subtract 1.96 from both sides )
a² = 2.45 ( take the square root of both sides )
a = [tex]\sqrt{2.45}[/tex]
Hence x = 2 × [tex]\sqrt{2.45}[/tex] ≈ 3.1 ft
