Question

Apply triangle i n e q u a l i t y t h e o r e m and determine which group of side measure will form a triangle a 276 B 12 10 22 c a 1 7D 943

Answer 1

To apply the triangle inequality theorem, we need to check if the sum of any two side lengths is greater than the third side length.

For group A: a = 276
This group only has one side, so it cannot form a triangle.

For group B: a = 12, b = 10, c = 22
The sum of any two sides is:
a + b = 12 + 10 = 22
b + c = 10 + 22 = 32
a + c = 12 + 22 = 34

Since each sum of two sides is larger than the third side, this group can form a triangle.

For group C: a = 1, b = 7, c = 943
The sum of any two sides is:
a + b = 1 + 7 = 8
b + c = 7 + 943 = 950
a + c = 1 + 943 = 944

Since a + b is not greater than c, this group cannot form a triangle.

For group D: a = 943
This group only has one side, so it cannot form a triangle.

In conclusion, group B with side lengths 12, 10, and 22 can form a triangle.