Question

HELP!!!

In right triangle ABC, AB=6, BC=12, and angle A=90 degrees. What is the value of cot C?
A.) radical sign3
B.) radical sign3/3
C.)radical sign3/2
D.) 2radical sign3/3

Answer 1

The answer is A. Radical sign 3.

Answer 2

In the right triangle ABC, right angled at A.

AB=6 , BC=12.

We have to find the value of Cot C.

In the right triangle ABC,

By using the Pythagoras theorem, which states

`(BC)^(2)=(AB)^(2)+(AC)^(2)`

`(12)^(2)=(6)^(2)+(AC)^(2)`

`(AC)^(2)=108`

`(AC)=√(108)`

`AC = 6√(3)`

Now, we will determine the value of Cot C.

Since,
`\cot \Theta =(Base)/(Perpendicular)`

`\cot C =(AC)/(AB)`

`\cot C =(6√(3))/(6)`

`\cot C =√(3)}`

So, the value of Cot C is radical sign 3.

So, Option A is the correct answer.