2 equal chords are drawn in the circle. The length of the perpendicular dropped from the center of the circle
| May 9, 2021 | education
2 equal chords are drawn in the circle. The length of the perpendicular dropped from the center of the circle to one of these chords is 10 cm. Find the length of the prependicular dropped from the center of the circle to the other chord.
Let’s connect the edges of the chord AB and CD with the center of the circle.
The segment OA = OB = OС = OD as the radii of the circle, AB = CD by condition, then the triangles AOB and COD are equal on three sides.
AB and CD are similar sides, then the perpendicular OK = OH = 10 cm as the heights of equal triangles drawn to similar sides.
Answer: The length of the perpendicular is 10 cm.
One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.
