Special Triangles

8.2b Special Right Triangles

Math 2

EQ: Thursday, March 7, 2024

● How do I find the sides of a 30-60-90 Special Right

triangle?

30°

60°

30°−60°−90°

Find angle A.

A

30°

Special Rule for 30°−60°−90° Triangles

5

10

30°

60°

4

8

30°

60°

Special Rule for 30°−60°−90° Triangles

5

10

30°

60°

4

8

30°

60°

Hyp = 2 × Short Leg

Long Leg = Short Leg

Find missing side.

5

10

30°

Multiple Select

Find the missing sides.

• $$y\ =\ 2$$

• $$x=2$$

• $$x=2\sqrt[]{3}$$

• $$x=4\sqrt[]{3}$$

• $$y=4$$

Multiple Select

Find the missing sides.

• $$a\ =\ 8$$

• $$b=4$$

• $$a=12$$

• $$b=8$$

• $$a=4$$

Find missing sides.

Special Rule for 30°−60°−90° Triangles

Multiple Choice

• a

• b

• c

• d

Math Response

Find y.

Type answer here

Correct Answer: 1

Deg^°

Rad

Math Response

Find x.

Type answer here

Correct Answer: \sqrt{3}

Deg^°

Rad

Math Response

Find a.

Type answer here

Correct Answer: 8

Deg^°

Rad

Math Response

Find b.

Type answer here

Correct Answer: 4\sqrt{3}

Deg^°

Rad

Math Response

Find a.

Type answer here

Correct Answer: 5\sqrt{3}

Deg^°

Rad

Math Response

Find b.

Type answer here

Correct Answer: 5

Deg^°

Rad

Math Response

Find x.

Type answer here

Correct Answer: \sqrt{21}

Deg^°

Rad

Math Response

Find x.

Type answer here

Correct Answer: \sqrt{265}

Deg^°

Rad