Chapter9 Theorems

Question 1

45 45 90 triangle theorem

Answer 1

in a 45 45 90 triangle the hypotenuse is (square root of 2) times as long as each leg ratio 1:1:square root of 2

Question 2

30 60 90 triangle theorem

Answer 2

in a 30 60 90 triangle the hypotenuse is twice as long as the shorter leg and the longer leg is (square root of 3) times as long as the shorter leg ratio 1:square root of 3:2

Question 3

Law of sines

Answer 3

Sine A over a equals sine B over b equaled sine C over c

Question 4

Law of cosines

Answer 4

a squared equals b squared plus c squared minus 2bc cosine A