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
The dimension that can create more than one triangle is; A: Three angles measuring 25, 65, and 90.
It is pertinent to know that one of the basic properties of a triangle is that it's 3 Interior angles must sum up to 180°
Now, triangles could be classified under shape or by angles.
For example by angles, we have acute angle, and obtuse angle triangle while under shape, we have right angle triangle, scalene triangle e.t.c
Now,looking at the options, only option A fits the definition of a triangle because the sum of the 3 Interior angles are 180° and as such it can be classified under angles or sides which means more than one triangle can be created.
Hence, the dimension that can create more than one triangle is; A: Three angles measuring 25, 65, and 90.
Read more about triangles at;
brainly.com/question/1675117
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