Special Right Triangles and Pythagorean

What is the length of x in this 45-45-90 triangle?

• 4√2

• 4

• 8

• 4√3

Tags

CCSS.8.G.B.8

What is the length of the short leg of this 30-60-90 triangle?

• 6

• 3

Tags

CCSS.HSG.CO.C.10

In this 30-60-90 triangle, what is the length of the long leg?

• 6√2

• 3√3

• 12

• 6√3

Tags

CCSS.HSG.CO.C.10

What is x in this 30-60-90 triangle?

• x = 6

• x = 3√2

• x = 3√3

• x = 3√3

Tags

CCSS.HSG.CO.C.10

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

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

Tags

CCSS.8.G.B.8

Which is the length of v in this 30-60-90 triangle?

• 4

• 8

Tags

CCSS.HSG.SRT.C.8

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

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

Tags

CCSS.HSG.CO.C.10

Find the lengths of the missing sides.

Tags

CCSS.HSG.SRT.C.8

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

• 7.5 in

• 12.4 in

• 13.6 in 

• 14.3 in

Tags

CCSS.8.G.B.8

Which of the following sentences would belong in the proof that describes this image?

• The sum of the areas of the two smaller squares is equal to the area of the large square.

• The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

• The difference of the areas of the two smaller squares is equal to the area of the large square.

• The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Tags

CCSS.8.G.B.8