Which dimensions cannot create a triangle?
three angles measuring 25°, 65°, and 90°
three angles measuring 50°, 30°, and 100°
three sides measuring 5 in., 12 in., and 13 in.
three sides measuring 4 ft, 8ft, and 14 ft

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: 10 meter

step-by-step explanation:

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