Visual Glossary
Done by Dhruv Sethi
Legs of a right triangle
Definition: The sides of a right triangle that form the right angle.
Symbol: None
Statement: In the triangle shown above, the legs are the sides labeled Leg 1 and Leg 2.
Symbol: None
Statement: In the triangle shown above, the legs are the sides labeled Leg 1 and Leg 2.
hypotenuse
Definition: The side opposite to the right angle
Symbol: none
Statement: In triangle ABC above, the hypotenuse would be segment AC
Symbol: none
Statement: In triangle ABC above, the hypotenuse would be segment AC
Short leg
Definition: Leg opposite to the 30° angle in a 30-60-90 triangle.
Symbol: none
Statement: In triangle ABC above, the short leg is opposit eto the 30° angle so it would be segment AB
Symbol: none
Statement: In triangle ABC above, the short leg is opposit eto the 30° angle so it would be segment AB
long leg
Definition: The leg opposite to the 60° angle in a 30-60-90 triangle
Symbol: none
Statement: In triangle ABC above, the long leg is opposite to the 60° angle so it would be segment BC
Symbol: none
Statement: In triangle ABC above, the long leg is opposite to the 60° angle so it would be segment BC
Pythagorean theorem
Definition: In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the legs.
Notation: a^2 + b^2 = c^2
Statement: If the 2 legs of a triangle are lengths 3 and 4. it would be 9 plus 16 which equals 25. then the hypotenuse would be the square root of 25 which is 5.
Notation: a^2 + b^2 = c^2
Statement: If the 2 legs of a triangle are lengths 3 and 4. it would be 9 plus 16 which equals 25. then the hypotenuse would be the square root of 25 which is 5.
Altitude
Definition: Perpendicular segment from a vertex to the line containing the oppose side
symbol: none
Statement: In the triangle above, the altitude is the same as the median, perpendicular and angle bisector. The altitude is also the height and the altitude of this triangle is 6.
symbol: none
Statement: In the triangle above, the altitude is the same as the median, perpendicular and angle bisector. The altitude is also the height and the altitude of this triangle is 6.
45°-45°-90° triangle
Definition: A special right triangle in which both legs are congruent and the length of the hypotenuse is the length of a leg times the square root of 2.
Symbol: none
Statement: If the leg of a 45-45-90 triangle was 2, then the hypotenuse would be 2 times the square root of 2.
Symbol: none
Statement: If the leg of a 45-45-90 triangle was 2, then the hypotenuse would be 2 times the square root of 2.
30°-60°-90° triangle
Definition: A special right triangle in which the length of the hypotenuse is 2 times the length of the shorter leg, and the length of the longer leg is the length of the shorter leg times the square root of 3.
Symbol: none
Statement: If the length of the shorter leg of a 30-60-90 triangle was 3, then the longer leg would be 3 times the square root of 3 and the hypotenuse would be 6.
Symbol: none
Statement: If the length of the shorter leg of a 30-60-90 triangle was 3, then the longer leg would be 3 times the square root of 3 and the hypotenuse would be 6.
simplest radical form
Definition: Simplifying a radical so there are no roots left to find
Symbol: √
Statement: Since root 12 can be broken into root 4 times 3 and 2 can be derived from the square root of 4, root twelve is equal to 2 root 3.
Symbol: √
Statement: Since root 12 can be broken into root 4 times 3 and 2 can be derived from the square root of 4, root twelve is equal to 2 root 3.
why i chose these terms. . .
The main reason I chose these terms for the visual glossary was because they constantly appearing in the unit. They appeared in problems, lessons, and sometimes real-world applications. Another reason I chose these specific terms was because they all tie in with each other and connect in their properties. Like the simplifying radicals with the special right triangles and the Pythagorean theorem. Also the altitude with the special right triangles. Even the long and short leg for the 30-60-90 triangle. All of these terms connected with one another which is why I chose them. Overall I learned a lot this unit and understanding specific terms could help me in the long run.