Question

triangle hij is similar to triangle gfe.
find the sine of ∠h. write an exact answer.
sin(h) =

Explanation:

Step1: Use the property of similar triangles

Since \(\triangle HIJ\sim\triangle GFE\), \(\angle H=\angle G\).

Step2: Recall the definition of sine function

In a right - triangle, \(\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}\). For \(\angle G\) in \(\triangle GFE\), the opposite side to \(\angle G\) is \(FE = 20\) and the hypotenuse is \(GE=29\).

Answer:

\(\sin(H)=\frac{20}{29}\)