Question

Given the triangle below, which of the following is a correct statement? (4 points)

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

Hello from MrBillDoesMath!

Answer:

Something is wrong with the Question statement, most likely the leg/hypotenuse lengths. Until the Question is clarified, no answer can be provided.

Discussion:

Triangle ABC is a right triangle so the longest side (BC = 6) is the hypotenuse. Applying the Pythagorean theorem gives this:

AB^2 + AC^2 = BC^2  

or substituting the values given

4^2 + 5^2 = 6^ 2     =>  as 4^2 = 16 , 5^2 = 25, and 6^2 = 36

16 + 25  = 36        

But this is a contradiction as  16 + 25 = 41 not 36.

Thank you,

MrB