contestada

Line segment BD passes through the center of circle C, BH = a, and HD = 8.

Circle C is shown. Chords B D and F G intersect at point H. Chord B D goes through center point C. The length of B H is a, the length of H D is 8, the length of F H is 6, and the length of H G is 6. Angle B H G is a right angle.

What is the length of the diameter?

4.5 units
8 units
12 units
12.5 units

Respuesta :

Answer:

12.5 units

Step-by-step explanation:

if the line down the center is 8 and the diameter is in the middle then both those sides need to be 8 and so the 6's on both sides of the diameter have to stay the same but they only change a little for 6+6 is 12 but the length gets longer since it moved farther down 

answer D 12.5

akposevictor

Applying the intersecting chords theorem, the length of the diameter, BD, is: D. 12.5 units.

What is the Intersecting Chords Theorem?

According to the intersecting chords theorem, the product of the segments created by each chord when two chords meet in a circle is equal.

Based on the intersecting chords theorem, we have:

(6)(6) = (8)(a)

36 = 8a

a = 36/8

a = 4.5

Diameter = BD = a + 8 = 4.5 + 8

Length of diameter = 12.5 units

Learn more about the intersecting chords theorem on:

https://brainly.com/question/13950364

#SPJ4

Ver imagen akposevictor

Otras preguntas