[GEOMETRY] Special Right Triangles

Question 1

[45-45-90 triangle] What is the formula for the hypotenuse?

Answer 1

Leg times radical two

Question 2

[45-45-90 triangle] What is the formula for any leg?

Answer 2

Hyp divided by radical two

Question 3

What is the rule for multiplying or dividing with radicals in the equation?

Answer 3

Only whole numbers can multiply or divide, and the same applies for radicals.

Question 4

[30-60-90 triangle] What is the formula for the hypotenuse?

Answer 4

Two times the short leg

Question 5

[30-60-90 triangle] What is the formula for the short leg?

Answer 5

Hypotenuse divided by two

Question 6

[30-60-90 triangle] What is the formula for the long leg?

Answer 6

Short leg times radical 3

Question 7

[30-60-90 triangle] If given the long leg, what is the formula for the short leg?

Answer 7

Long leg divided by radical 3

Question 8

In a 30-60-90 triangle, how do you determine which is the hypotenuse, the short leg, and the long leg?

Answer 8

The hypotenuse is across from the right angle, the short leg across from the 30 degree angle, and the long leg across from the 60 degree angle