Solve for line segment AB

AB = 32

Step-by-step explanation:

Given:

AD = 40

CD = 9

Required:

Find the length of segment AB

Solution:

BC and CD are radius of the circle. Therefore,

BC = CD = 9

AB = AC - BC

AB = AC - 9

We need to find AC

Since AD is tangent, CD is perpendicular to AD, this means that <D is a right angle. This makes ∆ADC a right triangle.

Therefore, we can apply Pythagorean theorem to find AC.

Thus:

AC² = AD² + CD²

AC² = 40² + 9²

AC² = 1,681

AC = √1,681

AC = 41

Let's find BC:

AB = AC - 9

Plug in the value of AC

AB = 41 - 9

AB = 32

yes

step-by-step explanation:

answer: two angles are called supplementary if they add up to 180°. example: the two angles (140° and 40°) are supplementary because they add up to 180°.

step-by-step explanation: