45-45-90 Special Right Triangles #2

Find a.

• 5

• √2

• 5√2

• 2

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

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

Find a - the length of the hypotenuse.

• 2√6
• 2√3
• 3
• 6

What is the value of x?

• 12√2
• 2√12
• 24
• 2

Find the value of x.

• 3 sqrt(2)
• 3
• 6 sqrt(2)
• 6

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

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

• 16

• 8

• 8√2

• √16

Find the missing side lengths.

• a = 4, b = 4
• a = 4, b = 2√2
• a = 2√2,  b = 4
• a = 4, b = 4

What is the value of x?

• 2
• 18
• 2√9
• 9√2