SohCahToa + Angle of Elevation/Depression
Pythagorean Theorem
Geometric Mean
Law of Sin/Cos
Match Formula
100
What does the acronym Soh Cah Toa stand for?
Sine Cosine Tangent
100
List what kind of triangle(s) the Pythagorean Theorem can be used for
Right Triangle
100
What is the formula for Geometric Mean using the given image?
100
What are the 4 ways a triangle can be proven congruent, using two triangles, with just sides and angles? (HINT: 3 letters represented as S and/or A)
SSS, SAS, ASA, and AAS
100
Solve for a:
Which formula/theorem is used above?
Leg Theorem
200
What part of Soh Cah Toa would you use to solve for x?
Sine/Soh
200
What are the 2 special right triangles known as?
30-60-90 Triangles and 45-45-90 Triangles
200
State how you can solve for both legs using the respective image (HINT: the legs are a and b):
200
Solve for e:
e = 8
200
Which formula/theorem would be used to solve for c?
Pythagorean Theorem
300
Given that John is 42 feet away from the base of a house looking up with an angle of elevation of 48, how tall is the house?
46.6 degrees
300
Determine if the following is a Pythagorean Triple:
52 + 122 = 132
Yes
300
What theorem would you use to solve for h? State the name and the formula.
Altitude Theorem -
300
Solve for BC:
BC = 21.5
300
Solve for x:
Which formula/theorem would be used to solve for the following?
Inverse Tangent
400
Solve for d:
*Round to the nearest tenth
d = 18.9
400
Solve for x:
x = 10
400
Find x (simplify):
x = 2
400
Solve for x:
*Round to the nearest tenth
x = 116.8 degrees
400
Solve for x:
Which formula would be used to solve for the following?
Law of Cosine
500
Solve for BC:
*Round to the nearest tenth
BC = 14.6
500
Solve for side c:
*Round to the nearest tenth if needed*
side c = 18 cm
500
Find x (simplify):
2√ 3
500
What is the formula for solving for the cosine of a triangles angle?
Cos(C) = (a2 + b2 - c2) / (2ab)
500
Given the highlighted parts, which Angle of Congruence would be used to solve the following?
None of the above - this utilizes SSA, which is not an Angle of Congruence