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#### Resources tagged with Inscribed circle similar to Pythagoras for a Tetrahedron:

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##### Other tags that relate to Pythagoras for a Tetrahedron
Scale factors. Tetrahedra. Mathematical reasoning & proof. Perimeters. Area. Pythagoras' theorem. Cosine rule. Inscribed circle. Circles. Similarity.

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Broad Topics > 2D Geometry, Shape and Space > Inscribed circle

### So Big

##### Stage: 5 Challenge Level:

One side of a triangle is divided into segments of length a and b by the inscribed circle, with radius r. Prove that the area is: abr(a+b)/ab-r^2

### Circles Ad Infinitum

##### Stage: 5 Challenge Level:

A circle is inscribed in an equilateral triangle. Smaller circles touch it and the sides of the triangle, the process continuing indefinitely. What is the sum of the areas of all the circles?

### Sangaku

##### Stage: 5 Challenge Level:

The square ABCD is split into three triangles by the lines BP and CP. Find the radii of the three inscribed circles to these triangles as P moves on AD.