Chapter 8 Testπ» Flashcards
Pythagorean triple?
A set of nonzero whole numbers a,b, and C that satisfy the equation
A^2 + B^2 =C^2
Ex: 3,4,5
5,12,13
8,15,17
7,24,25
Converse of Pythagorean theorem?
If the sum of the squares if the lengths of two sides of a triangle is equal to the square of the length of the 3rd side, then the triangle is a right triangle
45-45-90 Triangle theorem?
Both legs are congruent and the length of the hypotenuse is the square root of 2 times the length of a leg
30-60-90 triangle theorem?
Hypotenuse= 2 β’ shorter leg
Longer leg= square root of 3 β’shorter leg
What is another name of a 45-45-90 triangle?
Right isosceles
Acute?
C^2
Right?
A^2 + B^2 = C^2
Obtuse?
C^2 > A^2 + B^2
Trigonometry?
Comes from a Greek term
Trigon?
Triangle
Metron?
Measure
Trigonometric ratio?
The ratio of the lengths of the sides of a right triangle
Sine of angle a?
length of leg opposite <a></a>
Cosine of <a></a>
Length of leg adjacent to <a></a>
Tangent of <a></a>
Length of leg opposite <a></a>