45-45-90 Right Triangles

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 equal sides of an isosceles right triangle measure 12 units, then the measure of the hypotenuse is _____ units.

• 12√2
• 2√12
• 144
• 144√2

Tags

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

Find the length of the diagonal of a square with side length 12 cm.

• 12√2 cm
• 6√2 cm
• 7√2 cm
• 13
  13√2 cm

Tags

CCSS.HSG.SRT.B.4

CCSS.HSG.SRT.C.8

Find the length of the hypotenuse of a right triangle if the lengths of the other two sides are both 7 cm.

• 7√2 cm
• √14 cm
• 2√7 cm
• 14√2

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

• q = 14 p = 14√2
• q = 7 p = 7√2
• q = 7 p = 7√2
• q =  p = 14√2

• e = 13√2 f = 13√2
• e = 13 f = 13
• e = 3√2 f = 3√2
• e = 26√2 f = 26√2

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

• x = w = 9√2
• x = w = 9
• x = w = √2
• x = w = 18√2