Question

A, B, C, or D
Help I don’t get this

Answer 1

in a triangle there is only two sides that are the same length.

Answer 2

Thus the answer is A. 10 cm, 6 cm, 4 cm

Explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

The first combination y=6 cm z=4 cm produces the condition:

6 - 4 < x < 10

2 < x < 10

The third side is x=10 cm and it does not satisfy the inequality.

The rest of the combinations produce true inequalities:

B. 1 < x < 15 and x=9 satisfies the conditions

C. 1 < x < 9 and x=8 satisfies the conditions

D. 6 < x < 14 and x=10 satisfies the conditions

Thus the answer is A. 10 cm, 6 cm, 4 cm