In the diagram, BC is a radius of C. Determine whether AB is tangent to C. Explain your reasoning.

Question

contestada

Respuesta :

mlarsen5000 mlarsen5000 · Answer 1 · 2021-03-22T18:54:12+01:00

Answer:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49 Since this is false, it's not a right angle, and AB is not tangent.

Step-by-step explanation:

No, AB is not tangent to C.

If it were tangent, it would form a right angle with the radius, and we could use Pythagorean's Theorem.

3²+6²=7²

9+36=49

45=49 Since this is false, it's not a right angle, and AB is not tangent.

vipinkumar69547 vipinkumar69547 · Answer 2 · 2022-05-19T02:36:01+02:00

The line segment AB is not a tangent to C since it is not perpendicular to BC.

The tangent is perpendicular to the radius of the circle joined from the center to the point at which the tangent touches the circle.

The Pythagorean theorem states that in a right-angled triangle, the sum of the squares of the sides is equal to the square of the hypotenuse.

z² = x² + y²

The line segment AB would be a tangent if the triangle ABC is a right-angled triangle. We can use the Pythagorean theorem.

7² = 3² + 6²

49 = 9 +36

49 = 45

This is incorrect.

49 ≠ 45

This means that the triangle is not a right-angled triangle. This in turn means that AB is not a tangent to C.

We have determined that AB is not a tangent to C as it is not perpendicular to BC.

Learn more about tangents here-https://brainly.com/question/16507124

#SPJ2