This image was shared with me on WhatsApp, found it interesting so sharing here.
In the picture you will see three circles inside a rectangle. The diameter of all the 3 circles are given, based on which you are supposed to find the length of AB.
Find the length of AB in the given picture.
So were you able to solve the riddle? Leave your answers in the comment section below.
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As you can see in the picture, there are 3 circles inside the rectangle.
Let us call the 3 circles C1, C2 & C3.
Circle C1 touches the two adjacent sides of the rectangle and circle C2.
Circle C2 touches one side of the rectangle and the circles C1 & C2.
Circle C3 touches three sides of the rectangle and circle C2.
From the diagram, we know the diameters of the circles which are;
Diameter of circle C1 = 3cm,
Diameter of circle C2 = 4cm &
Diameter of circle C3 = 6cm
To solve this let’s break the rectangle into 2 pieces as shown in the figure below;
Applying Pythagoras theorem in the triangle AEC we get;
Now let’s look at the second part of the rectangle;
Applying Pythagoras theorem in the triangle BCF we get;
Now let’s put the rectangle together and find the length of A & B;