Given Two Intersecting Circles, Find the Distance between Their Centers

Given the radius of each circle, as well as the distance between the points of intersection, use the Pythagorean Theorem to find the distance between their centers.

[cowofthemonth]

I used the intersecting chords theorem and the quadratic equation. Was so sure I'd made a mistake that my answer of 4√5 + √17 was wrong. Definitely a messy way to do it compared to this.
Really enjoying your videos

[wernerviehhauser]

I would have gone for trig functions, but this is also nice.

[marioalb]

Length AB = a + b

12²=8²+a²
a= 8, 94 cm

9²=8²+b²
b= 4, 12 cm

AB = a + b
AB = 13, 06 cm. ( Solved √ )