Which of the following statements is correct? 2 D 70° 5.8 2.9 70° H Ε F ▲ DEFNA HJK by AA Similarity The triangles are not similar. A DEF ~A HJK by SSS Similarity ▲ DEF~A HJK by SAS Similarity

For the 30-60-90 triangle shown, suppose that XZ=a. Find: a YZ b XY

Given: XYZ with angles as shown in the drawing Find: XY HINT: Compare this drawing to the one for Exercise 20.

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.