If the blue radius below is perpendicular to the green chord and the segment BC is 6.8 units long what is the length of the chord

Length of Chord = 13.6 units

Step-by-step explanation:

The question is incomplete because the picture of the circle is not attached in the question. Lets complete the question first. I've attached the diagram of the question below.

In the diagram, we can see the green chord and the blue radius, along with side BC which is 6.8 units.

We can say that the radius and chord make two right angled triangles which are ΔOBC and ΔOBA. (sorry for rough drawing)

Comparing both triangles.

OB is congruent to OB (common sides)

OA is congruent to OC (both are radius)

<OBC is congruent <OBA (both are 90°)

Hence, by the theorem of Side-Side-Angle congruency of triangles, we prove that both triangle are congruent.

As both triangles are congruent, BC = AB

As BC = 6.8

AB = 6.8

Length of Chord = BC + BA

Length of Chord = 6.8 + 6.8

Length of Chord = 13.6 units

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.