Cathy is asked to find the length of AC. She could use the Pythagorean Theorem and AC2 = 32 + 22. What other formula could she use? A) (0 + 3)2 - (1 + 3)2 B) (0 + 1)2 - (3 + 3)2 C) (0 - 3)2 + (1 - 3)2 D) (0 - 1)2 + (3 - 3)2

Cathy is asked to find the length of AC. She could use the Pythagorean Theorem and AC^2 = 3^2 + 2^2. What other formula could she use?

A) (0 + 3)^2 - (1 + 3)^2

B) (0 + 1)^2 - (3 + 3)^2

C) (0 - 3)^2 + (1 - 3)^2

D) (0 - 1)^2 + (3 - 3)^2

Option C is the right choice.

Step-by-step explanation:

Given:

Cathy have used Pythagoras formula to find the hypotenuse.

Hypotenuse of the right angled triangle = AC

We know that:

In right angled triangle:

Hypotenuse square (h)^2 = Square of one side (p)^ + Square of another sides (b)^

⇒

In Cathy's calculation:

⇒

⇒

⇒

We have to look for another equation.

Lets see the options individually.

A.

B.

C.

D.

So,

The other formula Cathy can use is, C i.e. (0 - 3)^2 + (1 - 3)^2 .

Option C is the right choice.

step-by-step explanation:

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

x^2 + y^2 = 12x

r^2 = 12rcos(theta)

r = 12 cos(theta)