Which side is c?. c is always opposite the right angle — the longest side. Do not plug the hypotenuse in as a or b.
Distance formula is Pythagoras. From (x₁, y₁) to (x₂, y₂) the legs are |x₂ − x₁| and |y₂ − y₁|. So d = √((x₂ − x₁)² + (y₂ − y₁)²).
Vocabulary
hypotenuse: The side opposite the right angle in a right triangle.
Practice (no calculator unless marked)
Triangle DEF is a right triangle with a right angle at vertex F. Side DF has a length of 9 inches and side FE has a length of 12 inches. What is the length, in inches, of side DE?
Which list of numbers could represent the side lengths of a right triangle?
A. 5, 10, 13
B. 5, 12, 17
C. 10, 24, 26
D. 10, 24, 68
Two points are plotted on a coordinate plane. Point A is plotted at (−11, 8) and point B is plotted at (−2, −4). What is the distance, in units, from point A to point B?
A. 13
B. 15
C. √145
D. √185
Triangle DEF is a right triangle with a right angle at vertex F. Side DF has a length of 9 inches and side FE has a length of 12 inches. What is the length, in inches, of side DE?
Which list of numbers could represent the side lengths of a right triangle?
A. 5, 10, 13
B. 5, 12, 17
C. 10, 24, 26
D. 10, 24, 68
Two points are plotted on a coordinate plane. Point A is plotted at (−11, 8) and point B is plotted at (−2, −4). What is the distance, in units, from point A to point B?
A. 13
B. 15
C. √145
D. √185
Triangle DEF is a right triangle with a right angle at vertex F. Side DF has a length of 9 inches and side FE has a length of 12 inches. What is the length, in inches, of side DE?
Which list of numbers could represent the side lengths of a right triangle?