Pythagoras 1
Pythagoras 2
Either
Trigonometry 1
Trigonometry 2
100
Was Pythagoras Greek or Roman?
Greek
100
When using Pythagoras Theorem, the shorter sides are labelled with what letters?
a or b
100
When using Trigonometry, the side length across from the angle is called?
Opposite
100
A right-angle is equal to ...
90 degrees.
100
When using Trigonometry, what do the letters O, A and H represent?
Opposite, Adjacent and Hypotenuse
200
When using Pythagoras Theorem, what is the formula to calculate the length of the hypotenuse?
c^2=a^2+b^2
200
When using Pythagoras Theorem, what is the formula to calculate the length of side a (one of the shorter sides)?
a^2=c^2-b^2
200
When using Pythagoras Theorem, what is the formula to calculate side b?
b^2=c^2-a^2
200
sin (theta)=
O / H
200
cos(theta)=
A/H
300
Calculate the length of the hypotenuse:
26
300
Calculate the length of the Hypotenuse (to 2 dp):
7.62
300
When can trigonometry and Pythagoras' theorem be used?
When dealing with right-angled triangles.
300
What does TOA in SOHCAHTOA mean?
tan (angle) = opp/adj
300
Calculate the angle given cos(theta) = 0.02.
88.85o
400
Calculate x (to 2 dp):
23.24
400
Calculate x (to 2 dp):
19.42
400
When using Trigonometry, what formula is used to calculate the hypotenuse when given the adjacent?
cos(theta)=A/H
400
The angles in a triangle add up to ...
180o
400
Using trigonometry, calculate the length of the adjacent side when the opposite side length is 13 and the angle is 6 degrees.
A = 123.69
500
What is the length of bd?
12
500
Abbie rides her bicycle 21 km west and then 18 km north. How far is she from her starting point? (to 2 dp)
27.66 km
500
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 19 and the angle = 78o.
c = 91.38
500
Complete the Pythagorean triad: 8, 17, ?
15
172 - 82 = 152
500
If a tree is 6 metres tall, how long would its shadow be when the sun is 15o above the horizon?
22.39 m