Question

Find the cosine of ∠T.
32
60
68
T
S
U
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
cos(T)=

Answer 1

If the sides meeting at T are 32 and 60 and the side opposite T is 68, then by the Pythagorean theorem (or the Law of Cosines)

32^2 + 60^2 = 1024 + 3600 = 4624 = 68^2,

so the triangle is right at T and ∠T = 90°. Therefore

cos(T) = 0.