9.2 Special Triangles Review

9.2 Special Triangles Review

45-45-90 Isosceles Right Triangle

leg to hyp multiply by rad 2

small to big

Multiple Choice

What value is a?

• 2

• $2\sqrt{2}$

• $\frac{2}{\sqrt{2}}$

• $\sqrt{2}$

Multiple Choice

What value is x?

•  $3\sqrt{2}$  

• 3

• 6

•  $\frac{3\sqrt{2}}{2}$  
  

45-45-90 Isosceles Right Triangle

Go backwards when given hypotenuse

hypo to leg divide rad 2

big to smal

Multiple Choice

Find v?

in simplest form.

• 5

• 10

• $\frac{5\sqrt{2}}{2}$

• $5\sqrt{2}$

Multiple Choice

Find a?

simplest form

• 7

• $7\sqrt{2}$

• $\frac{7}{\sqrt{2}}$

• $\frac{7\sqrt{2}}{2}$

30-60-90 Right Triangles

Given Short Leg

short to hyp mult 2

short to long mult rad 3

Multiple Choice

Short leg is 9.

Find x. The hypotenuse

• 9

• 18

• $9\sqrt{2}$

• $9\sqrt{3}$

Multiple Choice

Short leg is 9.

Find y. The long leg

• 9

• 18

• $9\sqrt{2}$

• $9\sqrt{3}$

Multiple Choice

Short leg is  $\sqrt{2}$  .

Find x. The hypotonuse

•  $\sqrt{2}$  

•  $\sqrt{6}$  

•  $2\sqrt{2}$ 

•  $2\sqrt{3}$ 

Multiple Choice

Short leg is  $\sqrt{2}$  .

Find y. The long leg

•  $\sqrt{2}$  

•  $\sqrt{6}$  

•  $2\sqrt{2}$ 

•  $2\sqrt{3}$ 

30-60-90 Right Triangles

Given Hypotenuse

hypo to short divide by 2

short to long mult rad 3

Multiple Choice

Hypotenuse is 4.

Find short leg b

• 2

• 8

• $2\sqrt{3}$

  
  

• $\frac{4\sqrt{3}}{3}$

Multiple Choice

Hypotenuse is 4.

Find long leg a.

• 2

• 8

• $2\sqrt{3}$

  
  

• $\frac{4\sqrt{3}}{3}$

Multiple Choice

Hypotenuse is  $4\sqrt{3}$  .

Find short leg y.

• 2

•  $2\sqrt{3}$  
  

• 6

  
  

•  $6\sqrt{3}$ 

Multiple Choice

Hypotenuse is  $4\sqrt{3}$  .

Find long leg x.

• 2

•  $2\sqrt{3}$  
  

• 6

  
  

•  $6\sqrt{3}$ 

30-60-90 Right Triangles

Given Long Leg

Long to short divide by rad 3

short to hyp mult 2

Multiple Choice

The long leg is  $6\sqrt{3}$  

Find the short leg v.

• 6

•  $\frac{6\sqrt{3}}{3}$  

•  $3\sqrt{3}$  

• 12

Multiple Choice

The long leg is  $6\sqrt{3}$  

Find the hypo u.

• 6

•  $\frac{6\sqrt{3}}{3}$  

•  $12\sqrt{3}$  

• 12

Multiple Choice

The long leg is  $10$  

Find the short leg y.

• 5

•  $\frac{10\sqrt{3}}{3}$  

•  $\frac{5\sqrt{3}}{3}$  

•  $\frac{20\sqrt{3}}{3}$  

Multiple Choice

The long leg is  $10$  

Find the hypo x.

• 5

•  $\frac{10\sqrt{3}}{3}$  

•  $\frac{5\sqrt{3}}{3}$  

•  $\frac{20\sqrt{3}}{3}$