Question

if radius OD is perpendicular to chord AB at C, AC = 2(6.5-x), AB = 15, find x

Answer 1

Because the radius is perpendicular to the cord AC is half of AB

Then,

∴ AB = 1/2 × 2 (6.5 - x)

∴ 15 = 1/2 × 13 - 2x

∴ 15 = 6.5 - 2x

∴ 15 + 2x = 6.5

∴ 2x = 6.5 - 15

∴ x = -8.5/2

∴ x = - 4.25

X = - 4.25

▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃▃