Pythagorean Theorem
Special Right Triangles
Trig Functions
Inverse Trig Functions
Find the Missing Side
100
What is the name of the longest side of a right triangle?
The Hypotenuse
100
What are the angles for the 2 special triangles?
45 45 90
30 60 90
100
Name the acronym for the trig functions?
SOH-CAH-TOA
100
What's the function you use when you are finding an angle?
Use inverse function
100
θ=30∘, hypotenuse = 10. Find the opposite side
5
200
A triangle has legs of 6 ft and 8 ft. What is the length of the hypotenuse?
10 ft
200
In a 45-45-90 triangle, the legs are 6 cm long. What is the hypotenuse?
6 sqrt2 cm
200
What is the tangent of an angle in a right triangle?
Opposite/Hypotenuse
200
Which inverse trig function would you use to find an angle when you know the opposite and adjacent sides?
tan^-1
200
θ=45∘, adjacent = 7. Find the hypotenuse.
7/cos45=9.9
300
A right triangle has a hypotenuse of 13 ft and one leg of 5 ft. What is the length of the other leg?
12 ft
300
In a 30-60-90 triangle, the shorter leg is 5 inches. What is the hypotenuse?
10 inches
300
What is the cosine of an angle in a right triangle?
Adjacent/Hypotenuse?
300
If the opposite side is 3 and the hypotenuse is 5, what is the angle?
sin^-1(3/5)=36.9
300
A triangle has a 40° angle and a hypotenuse of 15. Find the length of the adjacent side
15xxcos(40)=11.49
400
A ladder is 14 ft long and its base is 9 ft from the wall. How high up the wall does it reach?
sqrt115 ft
400
In a 30-60-90 triangle, the hypotenuse is 12. What is the length of the longer leg?
6 sqrt3
400
A triangle has sides: opposite = 8, adjacent = 15, hypotenuse = 17. What is cos(θ)?
cos 0 =15/17
400
A triangle has adjacent side = 9 and hypotenuse = 11. Find the angle.
cos^-1(9/11)=34.8
400
Solve for X
1.8
500
State if the triangle with sides 7, 4√11, 16 is a right triangle.
(Must show work and if the hypotenuse equals the two legs are not to get the points)
No it is not
7^2+(4sqrt11)^2= 16^2
225=256
500
A square is cut diagonally into two right triangles. The diagonals are 8√2 inches. What is the length of the sides of the square?
8 inches
500
A triangle has sides: opposite = 5, hypotenuse = 13. What is tan(θ), if adjacent = 12?
5/12
500
A ramp rises 4 feet over a run of 12 feet. What angle does it make with the ground?
tan^-1(4/12)= 18.4
500
A surveyor sees the top of a building at a 25° angle of elevation. She’s standing 60 ft away. How tall is the building?
60xxtan(25)=27.96