20 - Circumcenter & Incenter WKS

8. If △ ABC is an equilateral triangle with a perimeter of 30, whatis the length of the altitude of this triangle?(1) 5 2 (3) 10 2(2) 5 3 (4) 10 39. If the length of the hypotenuse of a right triangle is 15 and thelength of one leg is 3, what is the length of the other leg?(1) 6 (3) 6(2) 9 (4) 3 210. In the diagram of △ ABC , side CA is extended through A to D.°°If m ∠ DAB = ( 5x+ 25), m ∠ ACB = ( 3x− 2)and m ∠ ABC = ( 4x+ 1)find m ∠ BAC .°DABC△11. In ABC , L and M are the midpoints of AB and BC respectively.If LM = 5x+ 12 and= + − find the length of LM.2AC x 4x312. Triangle ABC has vertices A ( − 2, 1 ) , B( 5, 5 ) and C( −1, − 7 )a. Show that △ ABC is isoscelesb. Find the length of the altitude drawn from A to BC642-4 -2 2 4 6-2-4-6-813. Write the equation of the perpendicular bisector of STS 7, 5 T 1, 9 .if ( − − ) and ( )