Triangles Flashcards
Relate the length of two sides in a triangle and the third side
a+b>c; for any two sides a and b, the third c would be less than the sum of the two
Find all the possible lengths for side c given the length of side a and b and that a>b
- a+b>c
- Solve the equation: a+c>b this is only significant if a is smaller than b
- Solve a+b>c
- Put them together
* you are effectively solving b-a
Relations between the lengths of the sides and the angles of an isoceles triangle
Length: two of the lengths would be equal to each other
Angles: the angles opposite to the congruent sides would be =
Relation between the lengths of the sides and the angles of an equilateral sides
Length: everything is =
Angle: everthing is 60 degrees
Relate the sides of a right angle
(a^2)+(b^2)=(c^2), where c is the hypothenuse
Pythagorean Triplets: 3, 4, ?
5
Pythagorean Triplets: 5, 12, ?
13
Pythagorean Triplets: 7, 24, ?
25
Pythagorean Triplets: 8, 15, ?
17
Relation between the length of sides of a 45-45-90
Legs: x
Hypothenuse: x(sqrt(2))
Relation between the length of sides of a 30-60-90
Shortest leg: x opposite of the 30 degree angle
Second shortest leg: x(sqrt(3)) opposite of the 60 degree angle
Hypothenuse: 2x opposite of the 90 degree angle
Relation between the lengths of the sides of two similar triangles
Since the angles are similar, the sides would be proportional to each other
Ratio between the areas of two triangles given the ratio between two sides a:b
(a^2):(b^2)
180 degrees in radians
pi
Convert angle A degrees into radians
A degrees*(pi radians/180 degrees)=A radians
