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I do not understand this problem. Can I please get some help?​

I do not understand this problem. Can I please get some help?​-example-1

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You have to use the Paytongorena on the computer and see how much it is from a to b
User Vasilis Vasilatos
by
7.6k points
7 votes

Answer: AB is 12 units long

Step-by-step explanation:

CD and BC are radii of the same circle. We are shown BC = 9, so CD is also 9

Through the segment addition postulate, we know that,

AC = AD + DC

AC = 6 + 9

AC = 15

The angle ABC is 90 degrees as this is a tangent point at the circle.

Triangle ABC is a right triangle. The leg AB is unknown, which we'll call x. The other leg is BC = 9. The hypotenuse is AC = 15

Use the pythagorean theorem to solve for x

a^2+b^2 = c^2

x^2+9^2 = 15^2

x^2+81 = 225

x^2 = 225-81 ... subtracting 81 from both sides

x^2 = 144

x = sqrt(144) ... applying square root to both sides

x = 12

AB = 12

User Dmitrii Volosnykh
by
8.4k points

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