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C.

Step-by-step explanation:

In a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

A.

9 + 9 = 18

18 < 22

No triangle

B.

7 + 3 = 10

10 = 10

No triangle

C.

5 + 6 = 11 and 11 > 9  good

5 + 9 = 14 and 14 > 6  good

9 + 6 = 15 and 15 > 5  good

There is a triangle.

C.

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.