Q3 Formulas and Shortcuts

Question 1

What is the shortcut for a rotation of 90 degrees?

Answer 1

(-y,x)

Question 2

What is the shortcut for a rotation of 180 degrees?

Answer 2

(-x,-y)

Question 3

What is the shorcut for a rotation of 270 degrees?

Answer 3

(y,-x)

Question 4

What is the 45-45-90 formula to find the hypotenuse?

Answer 4

Leg x square root of 2

Question 5

What is the 45-45-90 formula to find the leg?

Answer 5

Hypotenuse/square root of 2

Question 6

What is the 30-60-90 formula to find the hypotenuse?

Answer 6

Short leg x 2

Question 7

What is the 30-60-90 formula to find the short leg?

Answer 7

Hypotenuse/2

Question 8

What is the 30-60-90 formula to find the long leg?

Answer 8

Short leg x square root of 3

Question 9

What is the 30-60-90 formula to find the short leg using the long leg?

Answer 9

long leg/square root of 3

Question 10

What is the geometric mean formula using altitude?

Answer 10

seg of hyp/altitude = altitude/seg of hyp

Question 11

What is the geometric mean formula using legs?

Answer 11

hypotenuse/leg x leg/seg of hyp. adj. to leg

Question 12

What is sine

Answer 12

opposite/hypotenuse

Question 13

What is cosine

Answer 13

adjacent/hypotenuse

Question 14

What is tangent?

Answer 14

opposite/adjacent

Question 15

What is the formula for the triangle-angle-bisector theorem?

Answer 15

UX/WX = UV/WV

Question 16

What is the area formula for a right triangle?

Answer 16

1/2 x b x c sin A

Question 17

What is the Law of Sines?

Answer 17

sin A/a = sin B/b = sin C/c

Question 18

What is the Law of Cosines?

Answer 18

a^2 = b^2 + c^2 - 2bc cos A

Question 19

What is the formula to convert degrees to radians?

Answer 19

degrees x pi/180

Question 20

What is the formula to convert radians to degrees?

Answer 20

radians x 180/pi

Question 21

What is the Pythagorean Theorem?

Answer 21

a^2 = b^2 + c^2