45 45 90 Triangle Practice

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

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

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

• c = 6√2 d = 12

• c = 2√6 d = 6√2

• c = 6 d = 12√2

• c = 6√2 d = 6√2

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

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

• 16

• 8

• 8√2

• √16

What is the value of x?

• 2

• 18

• 2√9

• 9√2

Find the value of x.

• 3 sqrt(2)

• 3

• 6 sqrt(2)

• 6

• A
• B
• C
• D

In this 45-45-90 triangle, I have been given the length of the hypotenuse.  How would I find the length of the legs?

• multiply the hypotenuse by √2

• divide the hypotenuse by √2

• Divide the hypotenuse by 2

• divide the hypotenuse by √3