Answer:
x = y = 24 units
Step-by-step explanation:
By using the property,
"Radius of a circle perpendicular to a chord bisects the chord in two equal parts"
Since, radius AE is perpendicular to the chord AB,
AD = BD
x = y
AO = OC = 25 [Radii of a circle are equal in measure]
By applying Pythagoras theorem in ΔADO,
AO² = AD² + OD²
(25)² = x² + 7²
625 = x² + 49
x² = 625 - 49
x = 24 units
Therefore, x = y = 24 units
