Geometry ENRICHED: Right Triangles/Trigonometry

Which set of sides would make a right triangle?

• 4,5,6
• 8,10,12
• 5,12,13
• 5,10,12

Tags

CCSS.8.G.B.8

Use the Pythagorean Theorem to solve for x.

• 5√13
• 11√3
• √33
• √65

Tags

CCSS.8.G.B.7

Use the 45-45-90 theorem to solve for the hypotenuse.

• 16

• 8

• 8√2

• √16

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

what is the formula for finding the hypotnuse?

• a²⁺b²=c²
• a+b=c
• a-b=c
• c-a=c

Tags

CCSS.8.G.B.8

Find the value of y.

• 9
• 18√2
• 9√2
• (9√2)/2

Tags

CCSS.8.G.B.8

Find the value of y.

• 8
• 4
• 2√3
• 8√3

Tags

CCSS.HSG.SRT.C.8

In this 45-45-90 triangle, I have been given a leg, so to find the other leg I...

• Multiply that leg by 2
• Use the same length for the second leg
• Multiply that leg by √2
• Divide that leg by √2

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.
• Multiply that leg's length by √2.
• Multiply that leg's length by 2.
• Divide that leg's length by √2.

I have been given the hypotenuse in this 30-60-90 triangle.  How do I find the short leg?

• Multiply 6 by 2
• Multiply 6 by √3
• Divide 6 by 2
• Divide 6 by √3

Tags

CCSS.HSG.CO.C.10

What are x and y in this 30-60-90 triangle?

• b=3.5√3 a = 7√3
• b = 7 a = 7√2
• b = 7 a = 14
• b = 7√3 a = 14√3