30-60-90 45-45-90 Triangles

Solve for x in fully simplified form.

• 17√6

• 34√3

• 17√3

• 17√6 / 3

Solve for y in fully simplified form.

• 10 / √3

• 5 / √3

• 5√3 / 2

• 5/2

Solve for x in fully simplified form.

• 12√3

• 6√3

• 8√3

• 24 / √3

Find the missing length of the longer leg in each 30∘−60∘−90∘ triangle. Leave the answer in radical form: short leg = 9

• 9√3

• 3√3

• 3√9

• 27√3

In a 30-60-90 triangle, if the shorter leg is 5, then  the hypotenuse is _____.

• 10

• 9

• 12

• 7

Find the value of x and y.

• x = 8√3, y = 16

• x = 4, y = 8√3

• x = 16, y = 8√3

Find the value of m and n.

• m = 24√3, n = 24

• m = 6√3, n = 6

• m = 24/√3, n = 24

What is the length of u and v in this 30-60-90 triangle?

• u = 8 v = 4√3

• u = 4√2 v = 8

• u = 16 v = 8

• u = 4√3 v = 8

What is the length of y in this 45-45-90 triangle?

• 8√2

• 4√2

• 4

• 8

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3