Which of the side lengths could form a triangle? a) 2 cm, 2 cm, 4 cm b) 3 cm, 5 cm, 10 cm c) 3 cm, 4 cm, 5 cm d) 4 cm, 8 cm, 15 cm

C)3 cm, 4 cm, 5 cm

Step-by-step explanation:

A)2 cm, 2 cm, 4 cm

Here

Hence it doesn't satisfies triangle inequality.

B)3 cm, 5 cm, 10 cm

Here, But 8 is smaller than 10.

Hence it doesn't satisfies triangle inequality.

C)3 cm, 4 cm, 5 cm

Here, 3+4>5

4+5>3

3+5>4

Hence it satisfies triangle inequality.

D)4 cm, 8 cm, 15 cm

Here But 12 is not greater than 15.

Hence it does not satisfies triangle inequality.

step-by-step explanation:

x^2 -12x + 36 + y^2 = 36

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)