Was Pythagoras Greek or Roman?
Greek
What is the longest side of a right angled triangle called?
the hypotenuse
When using Trigonometry, the side length across from the given angle is called what?
Opposite
A right-angle is equal to
90 degrees.
When using Trigonometry, what do the letters O, A and H represent? (like in SOHCAHTOA)
Opposite, Adjacent and Hypotenuse
When using Pythagoras Theorem, what is the formula to calculate the length of the hypotenuse?
c^2=a^2+b^2
What is the name of the smaller sides of a triangle
Legs
Obtuse/Acute/Right
What kind of triangle will it be?
A triangle with side lengths 8,15, and 17
Right-angled triangle
82 + 152 = 172
sin (theta)=
O / H
cos(theta)=
A/H
Calculate the length of the hypotenuse:
26
Calculate the length of the Hypotenuse (round to the nearest hundredth):
7.62
Obtuse/Acute/Right
What kind of triangle will it be?
A triangle with side lengths 8,15, and 18
Obtuse
because 182>82+152
What does TOA in SOHCAHTOA mean?
tan (theta) = opp/adj
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
Calculate x (round to the nearest hundredth):
23.24
Calculate x (round to the nearest hundredth):
19.42
Obtuse/Acute/Right
What kind of triangle will it be?
A triangle with side lengths 8,15, and 16
Acute
because
162 < 152 + 82
The given angle measurement in a right triangle is 45 degrees. The adjacent side has a length of 30ft. What is the length of the opposite side? (NO CALCULATOR)
30ft
If a tree is 6 meters tall, how long would its shadow be when the sun is 15o above the horizon?
22.39 m
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? (round to the nearest hundredth)
27.66 km
Simplify the following:
3/4

30/60/90 Triangles
C. 36√3 square units
The given angle measurement in a right triangle is 45 degrees. The opposite side has a length of 19. What is the length of the hypotenuse? (NO CALCULATOR)
19√2