If you know two sides of a right triangle, the Pythagorean theorem would tell us that you could determine But another way to think about it, which is a little bit of common sense is using the Pythagorean theorem. We had thought about the RSH postulate where if you have a right triangle or two right triangles, you have a pair of sides are congruent, a pair and the hypothesis are congruent that means that the two With two right triangles, then it is enough. Now if you just had two triangles, that had two pairs of congruent sides that is not enough to establishĬongruency of the triangles. Perpendicular to segment AC and our assumptions in our given. How do I know they're right triangles? Well, they told us that segment OD is It's going to be equal to itself, it's going to be congruent to itself. OM is going to be congruent to OM and this is reflexivity. And then we also know that OM is going to be congruent to itself, it's a side in both of these triangles. Length AO is equal to OC because AO and OC, both radii. Radius going from O to C and another from A to O. And the way that I'm going to do this, is by establishing twoĬongruent triangles.

So another way to think about it, it intersects AC at AC's midpoint. Perpendicular to this chord to chord AC, or two segment AC. So we have this circle called circle O, based on the point at its center, and we have the segment OD, and we're told that segment OD, is a radius of circle O, fair enough.

Diameter bisect chord geometry