Answer :

olumideolawoyin

Answer:

sin H = 12 / 13

Step-by-step explanation:

Considering the triangle IHG,

Hypotenuse side = 13

Opposite side = 12

Adjacent side = 5

Using Trigonometric ratio,

sin H = opposite side / hypotenuse

sin H = 12 / 13

msm555

Answer:

[tex] \sf \sin(H) = \dfrac{{12}}{{13}}[/tex]

Step-by-step explanation:

To find the sine of ∠ H in triangle ∆ GHI, we use the definition of sine:

[tex]\Large\boxed{\boxed{ \sf \sin(H) = \dfrac{{\textsf{Opposite}}}{{\textsf{Hypotenuse}}}}}[/tex]

Given:

  • Opposite side (GI) = 12
  • Hypotenuse (HI) = 13
  • Adjacent (GH) = 5

Substitute the values into the formula:

[tex] \sf \sin(H) = \dfrac{{12}}{{13}}[/tex]

So, the sine of ∠ H is 12/13.

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