How would you solve this? All I know is AD=24.4948

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Answer:

Step-by-step explanation:

Let's call the center of the middle circle J, and the center of the third circle K.

Draw a line from J to the line AD such that the line is perpendicular to AD.

This forms a right triangle that is similar to the triangle ΔADK.

Writing and solving a proportion:

x / DK = AJ / AK

x / 5 = 15 / 25

x = 3

Now, draw lines from J to B and C. We now form two congruent right triangles, where the hypotenuse is 5 and the shared leg is 3.

That means these are both 3-4-5 triangles.

Therefore, BC = 4 + 4 = 8.

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