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

• 30

• 45

• 60

• 90

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

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

• 9

• 18√2

• 9√2

• √2

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Use the Pythagorean Theorem to solve for x.

• 5√13

• 11√3

• √33

• √65

Find the value of x.

• 7

• 8

• 9

• 10