Special Right Triangles Level 2

What is the value of x?

• 2
• 18
• 2√9
• 9√2

Solve for a and b in the special right triangle.

• a = 5, b = 5
• a = 10, b = 10√2
• a = 10√2, b = 10√2
• a = 5√2, b = 5√2

What are x and y in this 30-60-90 triangle?

• $x=6\ y=3\sqrt{3}$

• $x=\frac{3\sqrt{3}}{2},\ y=\frac{3}{2}$

• $x=3\sqrt{3\ }y=6$

• $x=\sqrt{3}y=2\sqrt{3}$

Find a.

• 2√3
• 2
• 12
• 6

Find x.

• 9
• 3√3
• 6
• 6√3

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

Determine the value of c.

• c = 6√3

• c = 12√3

• c = 18

• c = 18√2

What is the length of y in this triangle?

• 14

• $7\sqrt{3}$

• $\frac{7}{2}$
  

• $\frac{7\sqrt{3}}{3}$

If the length of the hypotenuse in this triangle is

 $15\sqrt{2}$  , find the length of one leg.

Find the lengths of the missing sides.

• $x=4\sqrt{3},\ y=8\sqrt{3}$

• $x=4,y=8$

• $x=12\sqrt{3},y=24$

• $x=12\sqrt{3},y=24\sqrt{3}$