Question

here is another assignment i need help with. (ss below)

Answer 1

to dethermine if line AB is a tangent of that given circle, the triange should be a right triange -- we can just use the pythagorean thing:
\[ \color{red}{c^2} = \color{orange}{a^2} + \color{cyan}{b^2} \]
where
\[ a=opposite \Rightarrow a=9 \]
\[ b=adjacent \Rightarrow b=12 \]
\[ c=hypotenuse \Rightarrow c=15 \]

plug that into the formula, and it if turns out that ITS TURE, it means that angle ABC is \(
90^o \) AND CB is perpendicular to cb -- so yeah, AB is indeed a tangent.

im curious tho, what are the options for the circled thing in the image attached below?!

Answer 2

not tangent and tangent

Answer 3

what? that doesn't make any sense -- can you take a ss of that please?

Answer 4

oh ok

Answer 5

of maybe thats the answer box :\ -- the 2nd one should be a \( = \) sign right?

Answer 6

what?

Answer 7

yes

Answer 8

ok, so by evaluating that expression, we can see that its indeed TRUE.

so that means that (check the image attached)

Answer 9

ok so the first box is tangent, the third box is equal, and the last box is "is" but what about the second box

Answer 10

we did that already

Answer 11

thats what i thought

Answer 12

thanks <3

Answer 13

u got it

Answer 14

yes

Answer 15

there are sides length : 9,12 and 15
we know that 3,4 and 5 are Pythagorean numbers what mean that

\(3^2 +4^2 = 5^2\)

using this we can rewrite 9,12 and 15 like 3*3 ,3*4 and 3*5
so if 3,4 and 5 are Pythagorean numbers one multiplie of them by 3 result Pythagorean numbers too

Answer 16

same thing -- the "special right triangles" but nah yeah, that's that