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case A. Three angles measuring 25,65,and 90
sum of a internal angles=25+65+90-----> 180° is ok
That dimensions can create infinity similar triangles
case B. Three angles measuring 50,50,and 50
sum of a internal angles=50+50+50----> 150° is not a triangle
therefore
That dimensions cannot create a triangle
case C. Three sides measuring 5 in,12 in,and 14 in
Applying the Triangle Inequality Theorem
5+12>14 -- > is ok
14+5>12 --- > is ok
12+14>5 --- > is ok
That dimensions can create only one unique triangle
case D. Three sides measuring 4 ft,8 ft, and 14 ft
Applying the Triangle Inequality Theorem
4+8>14 -- > is not true
therefore
That dimensions cannot create a triangle
the answer is
Option C. Three sides measuring 5 in,12 in,and 14 in
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