AB and AC are tangent. Find AB

Question

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Answer 1

AB and AC are tangent to a circle. Find AB; where AB = 3y + 4 and AC = 11y

Detailed Solution:

Therefore: AB = AC

3y + 4 = 11y

11y – 3y = 4

8y = 4

y = 4/8 = 1/2

AC = 11(1/2) = 11/2

AB = 3y + 4 = 3(1/2) + 4 = 3/2 + 4 = (3 + 8)/2 = 11/2

Therefore: AB = AC ==> 11/2 = 11/2

Answer 2