In Triangle RST, m<S=90, RS=5, and ST=12. Find Cosine T

by Pythagoras

c^2 = 12^2 + 5^2
c = 13

so cos T = 12/13

thanks

To find the cosine of angle T in Triangle RST, we can use the following formula:

cos(T) = adjacent side / hypotenuse

In this case, we have the adjacent side and the hypotenuse.

The adjacent side to angle T is RS, which is 5 units.

The hypotenuse of the triangle is ST, which is 12 units.

Therefore, we can substitute these values into the formula:

cos(T) = 5 / 12

Now we can calculate the cosine of T:

cos(T) = 0.4167 (rounded to four decimal places)

So, the cosine of angle T is approximately 0.4167.