Answer:
\(\sf \sin(H) = \dfrac{{12}}{{13}}\)
Step-by-step explanation:
To find the sine of ∠ H in triangle ∆ GHI, we use the definition of sine:
\(\Large\boxed{\boxed{ \sf \sin(H) = \dfrac{{\textsf{Opposite}}}{{\textsf{Hypotenuse}}}}}\)
Given:
- Opposite side (GI) = 12
- Hypotenuse (HI) = 13
- Adjacent (GH) = 5
Substitute the values into the formula:
\(\sf \sin(H) = \dfrac{{12}}{{13}}\)
So, the sine of ∠ H is 12/13.
