If the blue radius below is perpendicular to the chord AC which is. 14 units long, what is the length of the segment AB?

C. 7 units

Step-by-step explanation:

The given parameters are;

The length of the chord of the circle, = 14 units

The orientation of the radius and the chord = The radius is perpendicular to the chord

We have in ΔAOC, = = The radius of the circle

≅  by reflexive property

The angle at point B = 90° by angle formed by the radius which is perpendiclar to the chord

ΔAOB and ΔCOB are right triangles (triangles having one 90° angle)

and are hypotenuse sides of ΔAOB and ΔCOB respectively and is a leg to ΔAOB and ΔCOB

Therefore;

ΔAOB ≅ ΔCOB, by Hypotenuse Leg rule of congruency

Therefore;

≅ by Congruent Parts of Congruent Triangles are Congruent, CPCTC

= by definition of congruency

= + by segment addition postulate

∴ = + =   + = 2 ×  

∴   = /2

= 14/2 = 7

= 7 units.

step-by-step explanation:

because 1/3 is a fraction. we can tell because there is a divisor symbol between the 1 and the 3. if we were to add 2 fractions together, we would add the numerators, which is the number on top, but not the denominators, which is the number on the bottom

1/3+1/3=2/3

hope this !