Formulas
What part of the triangle do the upper case letters represent?
Angles
Solve for side r in RAP if angle R = 25 degrees, a = 18, and p = 24
r = 10.8143
The Vietnam Veteran's Memorial in Washington, DC is in the shape of an unenclosed isosceles triangle (that is V-shaped) with equal sides of length 246.75 feet and the angle between these sides measuring 125°. Find the distance between the ends of the two equal sides.
d = 437.7398ft
What Law is SAS Triangles?
Law of Cosine
Mistake 1
Incorrectly labeled diagram
What part of the triangle do the lower case letters represent?
Sides
Solve for angle B in degrees in triangle ABC if a = 10, b = 12, and c = 14
B = 57.1216 degrees
Aliona and Zhenya are standing at the seashore 10 miles apart. The coastline is a straight line between them. Both can see the same ship in the water. The angle between the coastline and the line between the ship and Aliona is 35 degrees. The angle between the coastline and the line between the ship and and Zhenya is 45 degrees. How far is the ship from Aliona?
= 7.2 miles
What Law is SAA Triangles?
Law of Sine
Mistake 2
Incorrect Multiplication
What is the formula for the Law of Sine?
sinA/a = sinB/b = sinC/c
Solve for side m in MNP if angle M = 85 degrees, n = 48, and p = 56
m = 70.5085
Airplane A is flying directly toward the airport which is 20 miles away. The pilot notices airplane B 45 degrees to her right. Airplane B is also flying directly toward the airport. The pilot of airplane B calculates that airplane A is 50 degrees to her left. Based on that information, how far is airplane B from the airport.
= 18.5 miles
What Law is AAS Triangles?
Law of Sine
Mistake 3
Wrong Law
What is the formula for the Law of Cosine?
a^2 = b^2 + c^2 - 2bc x cos(A)
Sketch and label HJK, where side h = 18, side j = 20, and side k = 15. Fine the measure for angle K
K = 46.1275 degrees
Javier, Patrick, and Nathan are camping in their tents. If the distance between Javier and Patrick is 153 feet, the distance between Javier and Nathan is 201 feet, and the distance between Patrick and Nathan is 175 feet, what is the angle between Javier, Patrick, and Nathan?
= 108.5003 degrees
Name all triangle types for the Law of Cosine
SSS and SAS
Mistake 4
Incomplete answer
What is isolated angle formula for Law of Cosine?
cos(A) = (b^2 + c^2 - a^2)/2bc
Sketch and label CAT, where angle C = 55 degrees, side t = 10, and side c = 7. Find the possible length(s) of side a
No real solutions for a
Ms. Kosto is buying some property that is shaped like quadrilateral ABCD (picture provided). Find the perimeter of the property.
= 884.5751 feet
Name all triangle types for the Law of Sine
AAS SAA ASA
Mistake 5
There is no solution