Question

PLEASE HELP THESE ARE ALL OF MY POINTS

Given the triangle below, which of the following is a correct statement?

Right triangle ABC with AB measuring 4, AC measuring 5, and BC measuring 6.

csc angle C equals 3 over 2
sec angle C equals 5 over 6
csc angle B equals 3 over 2
sec angle B equals 6 over 5

Answer 1

CSC angle C equals 3 over 2

Explanation:

Answer 2

csc angle C equals 3 over 2

Explanation:

In this problem

The hypotenuse is BC (greater side)

The legs are AC and AB

we know that

`csc(C) =(1)/(sin(C))`

`sin(C)=(AB)/(BC)` ----> opposite side of angle C divided by the hypotenuse

therefore

`csc(C)=(BC)/(AB)`

substitute the given values

`csc(C)=(6)/(4)`

Simplify

`csc(C)=(3)/(2)`

Note In this problem, the ABC triangle cannot be a right triangle, since its measurements do not satisfy the Pythagoras theorem, so I assume that it must be a problem created for didactic purposes