Was Pythagoras Greek or Roman?
Greek
When using Pythagoras Theorem, the shorter sides are usually labelled with what letters?
a or b
When using Trigonometry, the side length that faces the hypotenuse is called?
Opposite
A right-angle is equal to ...
90 degrees.
When using Trigonometry, what do the letters O, A and H represent?
Opposite, Adjacent and Hypotenuse
When using Pythagoras Theorem, what is the formula for calculating the length of the hypotenuse?
c^2=a^2+b^2
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
When using Pythagoras Theorem, what is the formula for calculating the second short side (side b)?
b^2=c^2-a^2
sin (theta) =
O / H
cos(theta)=
A/H
Calculate the length of the hypotenuse:
26
Calculate the length of the Hypotenuse (to 2 dp):
7.62
When can trigonometry and Pythagoras' theorem be used?
When dealing with right-angled triangles.
What does TOA in SOHCAHTOA mean?
tan (angle) = opp/adj
Calculate the angle given cos(theta) = 0.02.
88.85o
Calculate x (to 2 dp):
23.24
Calculate x (to 2 dp):
19.42
When using Trigonometry, what formula is used to calculate the hypotenuse when given the adjacent?
cos(theta)=A/H
The angles in a triangle add up to ...
180o
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
What is the length of bd?
12
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
Using Trigonometry, calculate the Hypotenuse when the Adjacent side = 19 and the angle = 78o.
c = 91.38
Complete the Pythagorean triad: 8, 17, ?
15
172 - 82 = 152
If a tree is 6 metres tall, how long would its shadow be when the sun is 15o above the horizon?
22.39 m