45-45-90 Right Triangle

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

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

Find a - the length of the hypotenuse.

• 2√6

• 2√3

• 3

• 6

Find the value of y.

• 9

• 18√2

• 9√2

• (9√2)/2

Find the value of x.

• 3√2

• 3

• 6√2

• 6

• a
• b
• c
• d

Find the value of m.

• 10

• 10√2

• 20√2

• √2

Find the missing side length. Leave your answer in simplified radical form.