Construction companies avoid vandalism at night by hanging expensive pieces of equipment from the boom of a crane, as shown in the figure below. a. Choose the correct answer. O A. An equilateral triangle. a. If you consider a triangle with two vertices A and B as marked in the figure and the intersection of a line through the cable holding the equipment and the ground as the third vertex, what type of triangle is formed? b. If you consider the triangle formed by points A, B, and C, describe where the altitude containing vertex A of the triangle is. O B. An obtuse triangle. OC. Aright triangle. O D. An isosceles triangle. b. Choose the correct answer. Boom Cable O A. The altitude is parallel to the ground and goes through A. O B. The altitude is parallel to the boom and goes through point C. O C. The altitude is parallel to the cable and goes through B. Ground O D. The altitude is the extension of the cable from vertex A to the ground.

Determine the type of triangle represented if the lengths of its sides are: a a=1.5, b= 2 and c = 2.5 b a= 20, b= 21 and c = 29 c a=10, b= 12, and c =16 d a= 5, b= 7 and c = 9

Is it possible to draw a triangle whose sides measure a. 8, 9, and 10? b. 8, 9, and 17? c. 8, 9, and 18?

a Argue that the midpoint of the hypotenuse of a right triangle is equidistant from the three vertices of the triangle. Use the fact that the congruent diagonals of a rectangle bisect each other. Be sure to provide a drawing. bUse the relationship from part a to find CM, the length of the median to the hypotenuse of right ABC, in which mC=90, AC = 6, and BC = 8.