TRIGONOMETRY 3PT (no computations) Flashcards
- Has two equal sides and one different side.
-The angles opposite the equal sides are also equal.
Isosceles Triangle
- All three sides are equal in length.
- All three angles are equal (each measuring 60°).
Equilateral Triangle
-All three sides are different in length.
-All three angles are different as well.
Scalene Triangle
In a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.
Pythagorean Theorem
What does the “Box” represent in a triangle
That the angle of triangle is 90 degrees
What does “c” represent in a right triangle?
Hypotenuse
what does “a/b” represent in a right triangle?
Legs
how do you represent the side of a triangle?
you represent using small letters: a, b, c…
How do you represent the angle of a triangle?
you represent using big letters: A, B, C…
If a triangle has a angle of A, B, and C, and it has a side of a, b, and c. What is the name of the triangle?
ΔABC (triangle ABC)
(T/F) The pythagorean theorem can be used in all types of triangles.
F: It only applies to right triangles
(T/F) Triangles are made out of lines.
F: Triangles are made out of line segments
The side opposite the right angle.
Hypotenuse
The sides adjacent to the right angle.
Legs
What is the equation of the Pythagorean Theorem?
c²=a²+b²
Formula for getting “c”
√a² + b² = c²
Formula for getting “a/b”
√ (c² - a²/b²) = b²/a²
- known mononymously as Pythagoras
- 500 years ago
An ancient Ionian Greek philosopher, polymath, and the eponymous founder of Pythagoreanism - Discovered a special relationship between the sides of a right triangle
Pythagoras of Samos
(T/F) 45°-45°-90° triangle, the length of the hypotenuse is /sqrt 2 times the length of a leg.
T
What kind of triangle is a 45°-45°-90°
Isosceles (2 equal side and 2 equal angle)
What formula do we use when getting “c” in a 45°-45°-90° triangle.
x√2
In a 30°-60°-90° triangle, the length of the hypotenuse is twice the length of the side that is opposite the angle that measures 30°, and the length of the side that is opposite the angle that measures 60° is √ 3 times the length of the other leg.
Just remeber C:
what kind of triangle is a 30°-60°-90° triangle
scalene (nothing is equal)
What is the formula of the hypotenuse of a 30°-60°-90° triangle
2x
What is the formula of the longer leg of a 30°-60°-90° triangle
x√ 3
What is the formula of the shorter leg of a 30°-60°-90° triangle
x
