TRIGONOMETRY 3PT (no computations)

Question 1

• Has two equal sides and one different side.

-The angles opposite the equal sides are also equal.

Answer 1

Isosceles Triangle

Question 2

• All three sides are equal in length.
• All three angles are equal (each measuring 60°).

Answer 2

Equilateral Triangle

Question 3

-All three sides are different in length.

-All three angles are different as well.

Answer 3

Scalene Triangle

Question 4

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.

Answer 4

Pythagorean Theorem

Question 5

What does the “Box” represent in a triangle

Answer 5

That the angle of triangle is 90 degrees

Question 6

What does “c” represent in a right triangle?

Answer 6

Hypotenuse

Question 7

what does “a/b” represent in a right triangle?

Answer 7

Legs

Question 8

how do you represent the side of a triangle?

Answer 8

you represent using small letters: a, b, c…

Question 9

How do you represent the angle of a triangle?

Answer 9

you represent using big letters: A, B, C…

Question 10

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?

Answer 10

ΔABC (triangle ABC)

Question 11

(T/F) The pythagorean theorem can be used in all types of triangles.

Answer 11

F: It only applies to right triangles

Question 12

(T/F) Triangles are made out of lines.

Answer 12

F: Triangles are made out of line segments

Question 13

The side opposite the right angle.

Answer 13

Hypotenuse

Question 14

The sides adjacent to the right angle.

Answer 14

Legs

Question 15

What is the equation of the Pythagorean Theorem?

Answer 15

c²=a²+b²

Question 16

Formula for getting “c”

Answer 16

√a² + b² = c²

Question 17

Formula for getting “a/b”

Answer 17

√ (c² - a²/b²) = b²/a²

Question 18

• 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

Answer 18

Pythagoras of Samos

Question 19

(T/F) 45°-45°-90° triangle, the length of the hypotenuse is /sqrt 2 times the length of a leg.

Answer 19

T

Question 20

What kind of triangle is a 45°-45°-90°

Answer 20

Isosceles (2 equal side and 2 equal angle)

Question 21

What formula do we use when getting “c” in a 45°-45°-90° triangle.

Answer 21

x√2

Question 22

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.

Answer 22

Just remeber C:

Question 23

what kind of triangle is a 30°-60°-90° triangle

Answer 23

scalene (nothing is equal)

Question 24

What is the formula of the hypotenuse of a 30°-60°-90° triangle

Answer 24

2x

Question 25

What is the formula of the longer leg of a 30°-60°-90° triangle

Answer 25

x√ 3

Question 26

What is the formula of the shorter leg of a 30°-60°-90° triangle

Answer 26

x