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Which dimensions cannot create a triangle?
A. three angles measuring 10 degrees, 25 degrees, and 145 degrees
B. three sides measuring 9 m, 15 m, and 9 m
C. three angles measuring 40 degrees, 70 degrees, and 65 degrees
D. three sides measuring 6 cm, 8 cm, and 10 cm

Respuesta :

Answer:

C

Step-by-step explanation:

A triangle must have three angles that add up to 180 degrees.

40 + 70 + 65 = 175, which is not 180, so it cannot create a triangle.

To find measurements that don't make up a triangle, you need to find the measurements that don't make up 180 degrees, or on the three sides on the measurements, do not have A + B > C.

All triangle sides together make up 180 degrees. So we need to add up all of the angle measurements and find the ones, or we need to find A + B > C. When we find one that doesn't have these two things, it isn't a triangle.

A. 10° + 25° + 145° = 180° (this is a triangle)

B. 9m + 15m > 9m (this is a triangle)

C. 40° + 70° + 65° = 175° (this is not a triangle)

D. 6cm + 8cm > 10cm (this is a triangle)

The answer is C. because the answer is 175° which is less than 180°.