The star height problem is a maths problem about triangles. It involves three different triangles - two of which are special kinds of triangles called 'right-angled triangles'. You can tell a triangle is a right-angled triangle if one of the angles is a right angle (90 degrees).
The star height problem asks you to figure out the lengths of the sides of the third triangle, based on the lengths of the sides of the other two triangles. You can do this by looking for a relationship between the sides of the two right-angled triangles and the sides of the third triangle.
For example, if you know the length of the two right-angled triangles' sides, then you can figure out how long the third triangle's sides need to be to make it fit with the other two.
The star height problem helps us understand how all the angles and sides of a triangle are related to each other. It helps us learn how to solve similar problems, like how the angles of a triangle can be used to work out the lengths of its sides, or how all the angles of a triangle add up to 180 degrees.