8.2. Converse of the Pythagorean Theorem http://www.ck12.org
GivenAB, withA( 3 , 3 )andB( 2 ,− 3 )determine whether the given pointCin problems 23-25 makes an acute, right
or obtuse triangle.
23.C( 3 ,− 3 )
24.C( 4 ,− 1 )
25.C( 5 ,− 2 )GivenAB, withA(− 2 , 5 )andB( 1 ,− 3 )find at least two possible points,C, such that 4 ABCis
- right, with right^6 C.
- acute, with acute^6 C.
- obtuse, with obtuse^6 C.
29.Construction
a. DrawAB, such thatAB= 3 in.
b. Draw
−→
ADsuch that^6 BAD< 90 ◦.
c. Construct a line throughBwhich is perpendicular to−→
AD, label the intersectionC.
d. 4 ABCis a right triangle with right^6 C.- Is the triangle you made unique? In other words, could you have multiple different outcomes with the same
AB? Why or why not? You may wish to experiment to find out. - Why do the instructions specifically require that^6 BAD< 90 ◦?
- Describe how this construction could be changed so that^6 Bis the right angle in the triangle.
Review Queue Answers
a. Yes
b. Yes
c. Noa. Yes
b. No
c. Yes