A Challenging Problem-2 of Decahedron With 10 Congruent Right Kite Faces

Geometry Level 5

The diagram above shows a decahedron that has \(10\) congruent faces each as a right kite (i.e. a cyclic quadrilateral consisting of two congruent right triangles with common hypotenuse).

It has two pairs of unequal sides \(a,b\) with \(a<b\).

And also has \(12\) vertices which exactly lie on a spherical surface with certain radius.

Find out the correct value (in degrees) of angle \(θ< 72^\circ \).


Problem Loading...

Note Loading...

Set Loading...