Answer:
three sides measuring 4 ft, 8ft, and 14 ft
Step-by-step explanation:
Verify each case
case 1) three angles measuring 25°, 65°, and 90°
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
in this problem
25°+65°+90°=180° ----> is correct
therefore
I can create a triangle
case 2) three angles measuring 50°, 30°, and 100°
we know that
The sum of the interior angles in a triangle must be equal to 180 degrees
so
in this problem
50°+30°+100°=180° ----> is correct
therefore
I can create a triangle
case 3) three sides measuring 5 in., 12 in., and 13 in.
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
1) 5+12 > 13 -----> is true
2) 5+13 > 12 ----> is true
3) 12+13 > 5 -----> is true
therefore
I can create a triangle
case 4) three sides measuring 4 ft, 8ft, and 14 ft
we know that
The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side
so
1) 4+8 > 14 -----> is not true
therefore
cannot create a triangle
Answer:
It is c. To find your answer you can add up the first two numbers and it turns our greater than the last number, that is how you get the answer. That is only with sides not angles.
Step-by-step explanation:
I really hope this helps :[]
