30 60 90 degree triangles with simplifying Square roots

30 60 90 degree triangles with simplifying radicals

Do Now

Practice using the following problems

Multiple Choice

 $\sqrt{8}$  

•  $2\sqrt{2}$  

•  $4\sqrt{2}$  

•  $2\sqrt{4}$  

•  $2$  

Multiple Choice

 $\sqrt{40}$  

•  $2\sqrt{10}$  

•  $10\sqrt{2}$  

•  $4\sqrt{10}$  

•  $2\sqrt{2}$  

Multiple Choice

 $\sqrt{200}$  

•  $10\sqrt{2}$  

•  $2\sqrt{10}$  

•  $100\sqrt{2}$  

•  $4\sqrt{10}$  

Multiple Choice

 $\sqrt{18}$  

•  $3\sqrt{2}$  

•  $2\sqrt{3}$  

•  $9\sqrt{2}$  

•  $4\sqrt{3}$  

Multiple Choice

 $\sqrt{12}$  

•  $2\sqrt{3}$  

•  $3\sqrt{2}$  

•  $\sqrt{2}\sqrt{6}$  

•  $6\sqrt{2}$  

Multiple Choice

 $\sqrt{50}$  

•  $5\sqrt{2}$  

•  $2\sqrt{5}$  

•  $5\sqrt{10}$  

•  $10\sqrt{5}$  

Multiple Choice

 $\sqrt{24}$  

•  $2\sqrt{6}$  

•  $6\sqrt{2}$  

•  $5$  

•  $\sqrt{12}\sqrt{2}$  

Multiple Choice

 $\sqrt{20}$  

• 2 $\sqrt{5}$  

• 5 $\sqrt{2}$  

•  $\sqrt{2}\sqrt{5}$  

•  $\sqrt{10}\sqrt{2}$  

Open Ended

We just practiced simplifying square roots. Explain to me how you simplify square roots.

In the following problems, identify the side opposite the 30 degree angle

Multiple Choice

Find the side opposite the 30 degree angle.

• x

• y

• 12

Multiple Choice

Find The side opposite the 30 degree angle. (also known as the short side.)

• 10

• x

• y

Multiple Choice

What is the side opposite the 30 degree angle? (Also known as the short side.)

• 3

• y

• x

Multiple Choice

Which side is the side oppostie the 30 degree angle of this 30-60-90 triangle?

• 6

• m

• n

Multiple Choice

Which side is the side opposite the 30 degree angle in this 30-60-90 triangle? (not the hypotenuse)

• 4

• u

• v

The hypotenuse is 2 times as big as the side opposite the 30 degree angle.

Multiple Choice

Find y.

• 10

• $10\sqrt{3}$

• $10\sqrt{2}$

• 20

Multiple Choice

Find n.

• 6

• m

• 3

Multiple Choice

Find X.

• 6

• 24

• $12\sqrt{3}$

• $6\sqrt{3}$

Multiple Choice

Find y.

• 9

• $3\sqrt{3}$

• 6

• $6\sqrt{3}$

Multiple Choice

Find x.

• 22

• $11\sqrt{3}$

• $11\sqrt{2}$

• 11

Use the pythagorean Theorem to solve for the missing side.

Multiple Choice

Given this 30∘−60∘−90∘ triangle. Find the value of X. Leave your answer in simplified radical form

• 9√3

• 3√3

• 3√9

• 27√3

Multiple Choice

Given this 30∘−60∘−90 right triangle, what is the value of x? Leave your answer in simplified radical form.

• 5√3

• 3√5

• 5

• 10√3

watch the following video

Multiple Choice

• 10

• 5

• 
  

  $\frac{5}{3}\sqrt{3}$
  

• $\frac{10}{3}\sqrt{3}$

Open Ended

Did you get the correct answer in the pervious slide?

Open Ended

If not, please explain your error and how you would correct it in the future.

watch the following video

Multiple Choice

Find x.

• 2√3
• 3√3
• 6√3
• 12

Open Ended

Did you get the correct answer in the pervious slide?

Open Ended

If not, please explain your error and how you would correct it in the future.