Special Right Triangles and Trig Functions

What is the measure of side c?

• 7
• 7/√2
• 7√2
• 14

Tags

CCSS.HSG.SRT.C.8

What is the measure of side b?

• 5
• 10√2
• 5√2
• 10√3

Tags

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

What is the measure of a?

• 3
• 3√3
• 6
• 3√2

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find n.

• 4
• 6
• 12
• 2√3

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the value of y?

• 3√2
• 4√3
• 6
• 1

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the value of x?

• 2
• 18
• 2√9
• 9√2

Tags

CCSS.8.G.B.7

You are making a guitar pick that resembles an equilateral triangle with side lengths of 32 millimeters. What is the approximate height of the pick? (hint: use 30-60-90 theorems)

• 32√3
• 16√3
• 32
• 16√2

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

BONUS - Solve for x. 
You will need to use 45-45-90 and 30-60-90 triangles.

• 10√3
• 15
• 5√3
• 15√2

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

• 17 miles
• 32 miles
• 37 miles
• 40 miles

Tags

CCSS.8.G.B.8

A square tablecloth has a line of embroidered flowers along the diagonal. The tablecloth is 48 in. on each side. How long is the embroidery line?  Round to the nearest inch.

• 48√2
• 68
• 34
• 24√2

Tags

CCSS.HSG.SRT.C.8