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14 Cards in this Set

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What is the length of the short leg in the basic 30-60-90 special right triangle?

1

It's not √3 or 2...

What is the length of the long leg in the basic 30-60-90 special right triangle?

√3

It's not 1 or 2...

What is the length of the hypotenuse in the basic 30-60-90 special right triangle?

2

It's not √3 or 1...

What is the length of one of the legs of a basic 45-45-90 special right triangle?

1

It's not √2...

What is the length of the hypotenuse of a basic 45-45-90 special right triangle?

√2

It's not 1...

In a 30-60-90 triangle, if the length of the short leg is 3, the hypotenuse is...

6

The ratio from the short leg to the hypotenuse is 1:2 (You double the short leg)

In a 30-60-90 triangle, if the length of the short leg is 3, the long leg is... (LARF)

3√3

The ratio from the short leg to the long leg is 1:√3 (You multiply the short leg by √3)

In a 45-45-90 triangle, if the length of one of the sides is 5, the hypotenuse is...(LARF)

5√2

The ratio from the short leg to the hypotenuse is 1:√2 (You multiply the leg by √2)

In a 45-45-90 triangle, if the hypotenuse is 7√2, the leg is...

7

The ratio from the hypotenuse to the leg is √2:1 (You divide the hypotenuse by √2)

In a 30-60-90 triangle, if the length of the hypotenuse is 8, the short leg is...

4

The ratio from the hypotenuse to the short leg is 2:1 (You divide the hypotenuse by 2)

In a 30-60-90 triangle, if the length of the hypotenuse is 8, the long leg is...(LARF)

4√3

This one's a little trickier...The ratio from the hypotenuse to the short leg is 2:1 (You divide the hypotenuse by 2) THEN the ratio from the short leg to the long leg 1:√3 (Multiply the short leg by √3)

In a 45-45-90 triangle, if the hypotenuse is 5, the leg is...(LARF)

(5√2)/2

This one's a little trickier...The ratio from the hypotenuse to the leg is √2:1 (You divide the hypotenuse by √2) REMEMBER...you can't leave a radical in the denominator!

In a 45-45-90 triangle, if the leg is 2√3, the hypotenuse is...(LARF)

2√6

The ratio from the short leg to the hypotenuse is 1:√2 (You multiply the leg by √2) REMEMBER, when you multiply with radicals, only multiply the numbers inside of radicals together.

In a 30-60-90 triangle, if the length of the long leg is 5, the short leg is...

(5√3)/3

This one's a little trickier...The ratio from the long leg to the short leg is √3:1 (You divide the hypotenuse by √3) REMEMBER...you can't leave a radical in the denominator!