Q:

Which dimensions can create only one unique triangle?A.Three angles measuring 25,65,and 90B.Three angles measuring 50,50,and 50C.Three sides measuring 5 in,12 in,and 14 inD.Three sides measuring 4 ft,8 ft,and 14 ft

Accepted Solution

A:
Verify each case 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