PLEASE HELP AND HURRY!! is it possible for a rectangle to have rational side lengths and an irrational area?

Two line segments are shown in the figure below. suppose that the length of the line along the x-axis is 6, and the length of the hypotenuse of the triangle is 10. what is the equation of the hypotenuse line (shown in red, below)?

According to a research study, parents with young children slept 6.4 hours each night last year, on average. a random sample of 18 parents with young children was surveyed and the mean amount of time per night each parent slept was 6.8. this data has a sample standard deviation of 0.9. (assume that the scores are normally distributed.) researchers conduct a one-mean hypothesis at the 5% significance level, to test if the mean amount of time parents with young children sleep per night is greater than the mean amount of time last year. the null and alternative hypotheses are h0: μ=6.4 and ha: μ> 6.4, which is a right-tailed test. the test statistic is determined to be t0=1.89 using the partial t-table below, determine the critical value(s). if there is only one critical value, leave the second answer box blank.

Determine which of the four levels of measurement (nominal, ordinal, interval, ratio) is most appropriate. monthly temperatures: 63 degrees upper f comma 67 degrees upper f comma 71 degrees upper f comma 75 degrees upper f comma and 79 degrees upper fmonthly temperatures: 63° f, 67° f, 71° f, 75° f, and 79° f