Are the following angles congruent, if so by which similarity theorem?

Can (3,5 and square root 34) be sides on a right triangle?

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

Terri makes a quilt using three sizes of fabric squares the side lenght of each fabric square is the square root of the area