Special Right Triangles

A square has side length 95. What is the length of the diagonal of the square? Express your answer in simplest radical form.

• 134.4
• 67.2
• 95√2
• (95√2)/2

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Find the value of y.

• 8
• 4
• 2√3
• 8√3

Tags

CCSS.HSG.SRT.C.8

Find the value of y.

• 7
• 7√3
• 14√3
• (14√3)/3

Tags

CCSS.HSG.SRT.C.8

Find the value of y.

• 11√2
• 11
• 22
• (11√2)/2

Tags

CCSS.8.G.B.8

Find the value of x.

• 18
• 18√3
• 36√3
• 12

Tags

CCSS.HSG.SRT.C.8

Find the value of y.

• 9
• 18√2
• 9√2
• (9√2)/2

Tags

CCSS.HSG.CO.C.10

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

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

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

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.

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8