Question

Express cos SS as a fraction in simplest terms.
Q
R
S
24
26
Answer
Attempt 2 out of 2

Answer 1

To express \( \cos SS \) (where SS likely refers to the angle S), we use the given triangle sides. Assuming S represents an angle in a triangle with the sides opposite \( Q = 24 \), \( R = 26 \), and the third side (let’s call it \( P \)) can be found using the Pythagorean theorem or trigonometric functions. However, side P is not provided here.

Assuming you are referring to a right triangle formed by angle S, here's a general approach if the triangle is indeed a right triangle. Let's assume:

1. The sides of the triangle are:
- Opposite side to angle S = 24
- Hypotenuse = 26

Then we can find \( \cos(S) \):
\[
\cos(S) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}
\]

To find the adjacent side, use the Pythagorean theorem:
\[
26^2 = 24^2 + \text{Adjacent side}^2
\]
\[
676 = 576 + \text{Adjacent side}^2
\]
\[
\text{Adjacent side}^2 = 676 - 576 = 100
\]
\[
\text{Adjacent side} = \sqrt{100} = 10
\]

Now we can calculate \( \cos(S) \):
\[
\cos(S) = \frac{10}{26} = \frac{5}{13}
\]

So, \( \cos(S) = \frac{5}{13} \).

If SS refers to a different context or if there's additional information about the angle or triangle, please provide that for a more precise answer!