8.G.3.a Explain a model of the Pythagorean Theorem
8.G.3.b Apply the Pythagorean Theorem to find side lengths of triangles and to solve authentic problems.
8.G.3.c Find the distance between any two points on the coordinate plane using the Pythagorean Theorem.
Hypotenuse
The longest side of a right triangle, located opposite the right angle.
Leg
Either of the two sides of a right triangle that form the right angle.
Pythagorean Theorem
A rule that relates the side lengths of a right triangle: a2+b2=c2a^2 + b^2 = c^2, where cc is the hypotenuse.
Proof
A logical argument that uses facts, definitions, and mathematical reasoning to show that a statement is true.