Special Right Triangles 45-45-90

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

Find a.

• 2√6

• 2√3

• 3

• 6

What type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Equiangular

• Equilateral

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

• Divide that leg by √2

What is the length of y in this picture?

• 45

• 5√2

• 90

• 5

In this 45-45-90 triangle, I have been given the length of a leg.  How do I find the length of the hypotenuse?

• It is the same length as the given leg.

• Multiply that leg's length by √2.

• Multiply that leg's length by 2.

• Divide that leg's length by √2.

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

• 4√2

• 4

• 8

• 4√3

I have been given a hypotenuse in this 45-45-90 triangle.  How do I find the length of a leg of the triangle?

• Multiply by √2

• Divide by √2

• It's the same length as the hypotenuse.

• Divide by 2

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

• 8√2

• 4√2

• 4

• 8

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14