Is It a Right Triangle and Finding the Hypotenuse of a Right Triangle

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.

I have been given the short leg in this 30-60-90 triangle.  How do I find the length of the hypotenuse?

• Multiply 4 by 2

• Multiply 4 by √3

• Multiply 4 by √2

• Divide 4 by √3

The Pythagorean Theorem ONLY works on which triangle? 

• obtuse

• scalene

• isosceles

• right

Find the value of x.

• 7

• 8

• 9

• 10

Which set of sides would make a right triangle?

• 4,5,6

• 8,10,12

• 5,12,13

• 5,10,12

Use the Pythagorean Theorem to solve for x.

• 5√13

• 11√3

• √33

• √65

Find the value of y.

• 8

• 4

• 2√3

• 8√3

Find the value of y.

• 9

• 18√2

• 9√2

• (9√2)/2

Solve for a and b in the special right triangle.

• a = 5, b = 5

• a = 10, b = 10√2

• a = 10√2, b = 10√2

• a = 5√2, b = 5√2

Find the value of x.

• 3 sqrt(2)

• 3

• 6 sqrt(2)

• 6