227k views
1 vote
AB and AC are tangent. Find AB

AB and AC are tangent. Find AB-example-1
User Mark Leong
by
7.7k points

1 Answer

1 vote

Answer:


AB = (11)/(2)

Explanation:

Given

The above diagram


AB = 3y + 4


AC = 11y

Required

Determine length AB

Tangents drawn from the same point of a circle are equal;

This implies that


AB = AC

Substitute values for AB and AC


3y + 4 =11y

Subtract 3y from both sides


3y - 3y + 4 = 11y - 3y


4 = 8y

Divide both sides by 8


(4)/(8) = (8y)/(8)


(4)/(8) = y


(1)/(2) = y

Substitute
(1)/(2) for y in
AB = 3y + 4


AB = 3 * (1)/(2) + 4


AB = (3)/(2) + 4


AB = (3 + 8)/(2)


AB = (11)/(2)

User JTG
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories