Question

help
http://prntscr.com/zhih9
teacher says to work on the explanation

Answer 1

The line is tangent if angle ABO is a right angle

Answer 2

Angle ABO is only a right angle if triangle ABO is a right triangle

Answer 3

To check to see if any triangle is a right triangle, you use the pythgorean theorem, but in reverse

Answer 4

the idea is that if you have 3 sides of a triangle: a, b, c

and c is the longest side

then this triangle is a right triangle if this equation is true

a^2 + b^2 = c^2

Answer 5

i did apply pythagoras theorem

Answer 6

I see that you had that going in your work shown

Answer 7

you just need to keep going

Answer 8

simplify or evaluate both sides as much as you can

Answer 9

i dont get it

Answer 10

you have 8.75^2, but that simplifies

Answer 11

8.75^2 = 8.75*8.75 = 76.5625

Answer 12

So the left side of 8.75^2 turns into 76.5625

you do the same for the terms on the right side, then you add them up

Answer 13

so what do you get when you do this?

Answer 14

76.56 = 76.06

Answer 15

good, it's really 76.5625 = 76.5625, but you got the idea

Answer 16

so this confirms that a^2 + b^2 = c^2 is true

so ABO is a right triangle with the right angle at angle ABO

Answer 17

so AB is a tangent