Determine whether a tangent line is shown in the diagram, for AB = 7, OB = 3.75, and AO = 8. Explain your reasoning. (The figure is not drawn to scale.)

Question

anonymous · Answer

attachment

anonymous · Answer

@ash2326

ash2326 · Answer

If AB is a tangent then angle OBA would be 90
Apply Pythagoras for the triangle OAB, check if it satisfies @dietrich_harmon

anonymous · Answer

?

anonymous · Answer

i don't have a clue @ash2326

anonymous · Answer

no because  7(2) + 375(2) radius 8 (2)

ash2326 · Answer

Do you get it ? @dietrich_harmon

anonymous · Answer

i thinks so is my answer right?

ash2326 · Answer

Yes :)

anonymous · Answer

i think my teacher is gave me the run around

anonymous · Answer

This explanation really doesn't make sense.

anonymous · Answer

@ash2326

anonymous · Answer

can u explain why my answer is correct

ash2326 · Answer

Okay, Suppose if AB is tangent to circle, then AB should be perpendicular to OB or
$$Angle AOB=90$$
We start with this assumption.

ash2326 · Answer

We know for a right triangle AOB
$$AO^2=AB^2+BO^2$$

anonymous · Answer

my teacher mark it incorrect what u think i need to change my answer

ash2326 · Answer

Let's see if it's valid here
$$8^2=7^2+3.75^2$$
$$64=49+14.0625$$
$$64\ne 63.0625$$
So it's not a right triangle, hence AB is not tangent.

ash2326 · Answer

What did you put as your answer?

anonymous · Answer

7(2) + 375(2) radius 8 (2)

ash2326 · Answer

You should put the answer :
AB is not a tangent, since Pythagoras is not valid for the triangle AOB