Pythagorean Theorem and Special Right Triangles

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

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

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

• 60

• 60√2

• 30√2

• 120

What is the exact side length of a square that has a diagonal of 18?

• 9

• 18√2

• 9√2

• √2

What is the perimeter of the triangle?

• 16 + 8√2

• 8 + 8√2

• 24√2

• 24

A 40 ft ladder is leaning against a house. The angle formed between the ladder and ground is 60 degrees. How many ft away from the house is the bottom of the ladder?

• 40

• 20

• 20√3

• 40√2