Special right triangles FORMATIVE

In this 45-45-90 triangle, the leg has been given. How is the other leg found?

• Multiply the given leg by 2.

• Use the same length for the second leg.

In this 45-45-90 triangle, the length of a leg has been given. How can the hypotenuse be found?

• It is the same length as the leg.

• Multiply the leg by $\sqrt{2}$ .

• Multiply the leg by 2.

• Divide the leg by $\sqrt{2}$ .

What type of special triangle is this?

• 45°-45°-90°
• 30°-60°-90°
• Equiangular
• Equilateral

Which side is the short leg?

• 6

• m

• n

Simplify: $\frac{4}{\sqrt{3}}$ . 

•  $\frac{4\sqrt{3}}{3}$  

•  $\frac{4\sqrt{3}}{2}$  

•  $4\sqrt{3}$  

•  $\frac{4\sqrt{3}}{9}$  

Find n.

• 4

• 6

• 12

• $2\sqrt{3}$

Find a.

• 2

• 4

• $\frac{2}{\sqrt{2}}$
  

• $2\sqrt{3}$

Multiply  $5\sqrt{2}\cdot\sqrt{2}$ . 

• 20

•  $5\sqrt{2}$  

• 10

•  $10\sqrt{2}$  

Find m.

• 4

• 6

• 12

• $2\sqrt{3}$

Find m.

• 10

• $10\sqrt{2}$

• $20\sqrt{2}$

• $\sqrt{2}$