Question

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

Answer 1

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.

Explanation:

I really hope this helps :[]

Answer 2

three sides measuring 4 ft, 8ft, and 14 ft

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