Nội dung text 36 Right Triangles.pdf
MSTC 36: Right Triangles 1. Pythagorean Theorem A right triangle is a triangle with a right angle. The side opposite to the right angle is the hypotenuse of the right triangle, and the two other sides are called the legs. Construct a square inscribed by another square with side c such that the side of the outer one is divided into a and b. Alarge = Asmall + 4Atriangle (a + b) 2 = c 2 + 4 ( 1 2 ab) a 2 + 2ab + b 2 = c 2 + 2ab a 2 + b 2 = c 2 For a right triangle with legs of length a and b and hypotenuse of length c, Pythagorean Theorem. a 2 + b 2 = c 2