Question

Given a rectangle and three tangential circles embedded inside with known dimensions, find the length AB.

Answer 1

Answer:

3√6

Step-by-step explanation:

form 2 right triangles for each intersecting circles using the distance between the centers as hypothenuse and solve Pythagora's for each; the equations would be:

(3.5)^2 = (2.5)^2 + x^2

and

5^2 = 1^2 + x^2

and result is √6 + √24 = 3√6

Answer 2

Answer: 7.5 cm

Step-by-step explanation:

Either you divide the rectangles to different squares of known lengths or you use Pythagoras rule of right triangles.