In this figure, the shortest altitude equals the geometric mean of the (*) line segments it divides the opposite side into, and the otherwise false angle-side-side congruence condition holds true for these figures.
In this figure, the circumcenter lies on the midpoint of its longest side, and Thales' theorem describes an inscribed one of these figures. The sum of the squares of the side lengths of this figure equals eight times the square of its circumradius, which equals half the length of its longest side. In this figure, the shortest altitude equals the geometric mean of the (*) line segments it divides the opposite side into, and the otherwise false angle-side-side congruence condition holds true for these figures. They contain two legs and a hypotenuse, and their side lengths satisfy the Pythagorean theorem. For ten points, name these three-sided polygons with one angle of 90 degrees.
In this figure, the circumcenter lies on the midpoint of its longest side, and Thales' theorem describes an inscribed one of these figures.
right triangles [prompt on partial; do NOT accept any other specific type of triangle] &lt;EC&gt;