# Help solve and answer...... What do the slopes equal? 1. slope AB = _________ , slope AC =___________ slope BC = ______________ (There is suppose to be an arrow going in both...

Help solve and answer......

What do the slopes equal?

1. slope *AB* = _________ , slope *AC* =___________ slope *BC* = ______________

**(There is suppose to be an arrow going in both directions over** *AB, AC *and BC)

2. which slope in item 1 is the steepest?

3. Is triangle shape *ABC* a right triangle? show why or why not

4. Write the equation of a line through *C* that is parallel to *AB*. **(an arrow going in both directions is over AB**)

5. write the equation of a line through *B* that is perdendicular to *AC*. **(an arrow going in both directions is over AC)**

thanks

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### 1 Answer

**1.** In Equilateral triangle are equal to 60 degree, So slope through all sides will be tan(60 degree).

then slope *AB* = tan(60 degree) = sqrt(3), slope *AC* = tan(60 degree) = sqrt(3)

slope *BC* = tan(60 degree) = sqrt(3).

**2.** If the angle through any side is 45 degree. then slope = tan(45 degree) = 1

**3.** if the slope through about any side has 0. then the angle will be 90 degree. then triangle is right angle triangle.

**4.** Parallel lines have equal slopes,

**5.**for perpendicular lines gradient m1m2= -1.