# Special Right Triangle 30-60-90 (II) - check your understanding

- Author:
- Leigh Paris, Tim Brzezinski

- Topic:
- Right Triangles

Suppose the measure of angle *A* is *x.
*What would the measure of angle *B* be (in terms of *x*)?

Again, suppose the measure of angle *A* is *x*. What would the measure of angle *C* be (in terms of *x*)?

Take your responses to the first 2 questions and write an equation, in terms of *x*, that expresses the relationship among the 3 angle measures of this triangle. What is the value of *x*? What are the measures of this triangle's 3 angles?

How does the length of the hypotenuse of this triangle compare with the length of this triangle's shorter leg?

Suppose the shorter leg's length (*BC*) = 4 cm.
What would hypotenuse *AB* be?

Suppose the shorter leg's length (*BC*) = 4 cm.
What would longer leg *AB* be?

Suppose short leg *BC* = 5. What is the length of long leg *AC* in simple radical form?

Suppose *Hypotenuse AB* = 5. What is the length of long leg *AC*?

Suppose long leg *AC* = 10. What is the length of short leg *BC *in simplified radical form?