a) Because RI || AN , angle R and angle TAN are congruent corresponding angles.
Also because both triangles contain angle S, the triangles are similar by AA (angle-angle).
So triangle TAN ~ triangle TRI
b) to find NI, we will use Side-Splitting Theorem
x/12 = 2/8
x = 12*2 / 8 = 12/4 = 3cm
Let me know if you have any questions.
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