45-45-90 Right Triangles
30-60-90 Right Triangles
Facts
100

If a 45-45-90 triangle has a hypotenuse of 4√2 then what is the length of one of the legs of that triangle?

4

100

If a 30-60-90 triangle has a short leg that has a length of 2, then what is the hypotenuse? (longest side)

4

100

In a 45-45-90 right triangle, what process can you do to find to sides given just the hypotenuse?

Divide the hypotenuese by the square root of two.

200

What could you multiply a side of a right triangle by to get the hypotenuse? 

√2

200

In a 30-60-90 triangle the hypotenuse has a length of 4 feet. What is the length of the shortest leg? 

2

200

Can a triangle be both a 30-60-90 and an 45-45-90 right triangle?

no

300

What would be the side length of a 45-45-90 triangle with a hypotenuse of 9√2

9

300

If a 30-60-90 triangle's longer leg has a length of 2√3, then what is the length of the shortest side?

2

300

Could the following measurements be from a 45-45-90 triangle?  2, 2, 2√5

Nope

400

What would be the side length of a 45-45-90 triangle with a hypotenuse of 9

(9√2)/2

400

If a 30-60-90 triangle's longer leg has a length of 5√3, then what is the length of the longest side?

10

400

Could the following numbers be the side lengths of a 30-60-90 triangle?  2, 2√3, and 4

Yes

500

What would be the side length of a 45-45-90 triangle with a hypotenuse of 6? (Must be fully simplified)

3√2

500

If a 30-60-90 triangle's hypotenuse has a length of 12, then what is the length of the longer leg? 

6√3

500

Can you have an angle bigger than 90 degrees in a right triangle? 

Nope

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