Question

Help me find x and y please!

Answer 1

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