# G.GSRT.5 30-60-90 Right Triangle

- Author:
- Dan Dale, 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 *AB* be?

Take the information from the previous question. Use this information to write (and solve) and equation in order to find *AC*. Write this distance in simple radical form.

Suppose *BC* = 5. What is *AB*? Use this information to solve for *AC* in simple radical form.
Suppose *BC* = 6. What is *AB*? Use this information to solve for *AC* in simple radical form.
Suppose *BC* = 7. What is *AB*? Use this information to solve for *AC* in simple radical form.