Question

question 14 of 50
the formula for the pythagorean theorem is:
○ \\(\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\)
○ \\(y = mx + b\\)
○ \\(a2 + b2 = c2\\)

Explanation:

• The first option $\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ is the distance formula between two points in a coordinate plane.
• The second option $y = mx + b$ is the slope - intercept form of a linear equation.
• The third option $a^{2}+b^{2}=c^{2}$ (assuming the original "a2 + b2 = c2" is a typo for $a^{2}+b^{2}=c^{2}$) is the Pythagorean Theorem, which states that in a right - triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Answer:

C. $a2 + b2 = c2$ (or in correct notation $a^{2}+b^{2}=c^{2}$)