45 45 90 triangles

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

Tags

CCSS.HSG.SRT.C.8

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

• 4√2
• 4
• 8
• 4√3

Tags

CCSS.8.G.B.8

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

Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45∘.

• 4 inches
• 2 inches
• 8 inches
• 10 inches

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

If the leg of a 45-45-90 triangle is 7 cm long, then its hypotenuse is _____ cm.

• 7√2
• 49√2
• 7
• 7√7

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

Given a square with side length of 12√2 cm, what is the diagonal?

• 24 cm
• 20 cm
• 18 cm
• 22 cm

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

• c = 6√2 d = 12
• c = 2√6 d = 6√2
• c = 6 d = 12√2
• c = 6√2 d = 6√2

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

• A
• B
• C
• D

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

• A
• B
• C
• D

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

CCSS.HSG.SRT.D.11

• A
• B
• C
• D

Tags

CCSS.HSF.TF.A.3

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8