Geometry: Right Triangles and Segments

The video tutorial guides viewers through solving a geometry problem involving parallel segments and tangents to a circle. It explains how to use the Pythagorean theorem to find the lengths of segments in two right triangles. The solution involves recognizing Pythagorean triples and verifying calculations to determine the length of segment A-D. The tutorial concludes with a confirmation of the correct answer.

What is the relationship between segments AD and BC in the given geometry problem?

• They are perpendicular.

• They are parallel.

• They are equal in length.

• They intersect at the center of the circle.

Which angles are right angles in the given geometry problem?

• Angle A-D-B and angle C-B-A

• Angle A-C-B and angle D-B-A

• Angle A-D-C and angle B-C-D

• Angle A-B-C and angle B-A-D

What is the length of segment A-C in the problem?

• 15 units

• 5 units

• 13 units

• 12 units

Using the green right triangle, what is the length of segment A-B?

• 15 units

• 9 units

• 5 units

• 12 units

What is the hypotenuse of the green right triangle?

• 12 units

• 5 units

• 15 units

• 13 units

In the blue right triangle, what is the length of the hypotenuse?

• 15 units

• 5 units

• 12 units

• 13 units

What is the length of segment A-D using the blue right triangle?

• 5 units

• 9 units

• 15 units

• 12 units

Which Pythagorean triple is used to find the length of A-D in the blue triangle?

• 9, 12, 15

• 3, 4, 5

• 5, 12, 13

• 6, 8, 10

What is the value of X, the length of A-D, after verification using the Pythagorean theorem?

• 9

• 15

• 5

• 12

What is the final answer for the length of segment A-D?

• D

• C

• B

• A