Special right triangles (30-60-90/ 45-45-90)

In a 45-90 special right triangle, if the hypotenuse is 3√2 then x=?

x = 3

In a 30-60-90 special right triangle, if long leg is 5√3 then the short leg = ___, and the hypotenuse is ____

short leg = 5

Hypotenuse = 10

In a 45-90 special right triangle, if x = 7 then the hypotenuse = ___

Hyp. = 7√2

In a 30-60-90 special right triangle, if the hypotenuse is 40 then the long leg is ____ , and the short leg is ______.

long side = 20√3

short leg = 20

In a 45-90 special right triangle, if hypotenuse is 17√2 then x = ___

x = 17

In a 30-60-90 special right triangle, if the short leg is 13 then long side = ___

long side = 13√3

In a 45-90 special right triangle, the hypotenuse is 8, then the legs are _____

4√2

In a 30-60-90 special right triangle, if long side is 14√3 then hyp. = ___

Hyp. = 28

In a 45-90 special right triangle, if the hypotenuse is 10, then the legs are ____

5√2

In a 30-60-90 special right triangle, if the hypotenuse is 16 then the short leg is ____ and the long leg is ______

short leg = 8

long leg = 8√3

In a 45-90 special right triangle, if the hypotenuse = 12√2 then the legs are ____

12

In a 30-60-90 special right triangle, if the hyp. = 50 then the long side =?

long side = 25√3

In a 45-90 special right triangle, if the hypotenuse is 12, then the legs are _____

6√2

what is the basic order of a 30-60-90 triangle?

x: x√3: 2x

what is the basic order of a 45-45-90 triangle?

x: x: x√2

Sin is

opposite over hypotenuse

Cosine is

adjacent over hypotenuse

tangent is

opposite over hypotenuse

cosecant is

hypotenuse over opposite

secant is

hypotenuse over adjacent

cotangent is

adjacent over opposite