Special right triangles 30-60-90 and 45-45-90

What is the length of y in this picture?

• 45
• 5√2
• 90
• 5

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

• 4√2
• 4
• 8
• 4√3

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

• 16

• 8

• 8√2

• √16

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

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

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

• 24 cm
• 20 cm
• 18 cm
• 22 cm

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

• A
• B
• C
• D

Solve for a and b in the special right triangle.

• a = 5, b = 5
• a = 10, b = 10√2
• a = 10√2, b = 10√2
• a = 5√2, b = 5√2

Find a - the length of a leg of the triangle.

• 4
• 2
• 4√2
• 2√4