Pythagorean Theorem and Special Right Triangles

What is one of the Special Right Triangles? (xx-yy-zz)

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

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 type of special triangle is this?

• 45°-45°-90°

• 30°-60°-90°

• Isosceles

• Obtuse

What is the measure of side c?

• 7

• 7/√2

• 7√2

• 14

What is the shortest distance between 3rd and 1st?

• 60

• 60√2

• 30√2

• 120

If the length of the hypotenuse in this triangle is 16, find the length of one leg.

• 8

• 32

If the length of the hypotenuse in this triangle is 7, find the length of the long side.

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Find the lengths of the missing sides.

Considering the lengths of the sides of the triangle, what measure will < A have to be?

• 30

• 45

• 60

• 90