\begin{tabular}{l} Which could be the measures of the sides of a right triangle? \\ \hline \( 33 \mathrm{~cm}, 56 \mathrm{~cm} \), and 64 cm \\ 30 cm , and 90 cm \\ \( 36 \mathrm{~cm}, 76 \mathrm{~cm} \), and 85 cm \\ \hline\end{tabular}

Homework 1. find the crea of a rectangler with langth 6 cm and breadth \( \frac{12}{2} \mathrm{~cm} \)

The longer leg of a right triangle is 1 cm longer than the shorter leg. The hypotenuse is 9 cm longer than the shorter leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{cm} \) Length of the longer leg: \( \square \mathrm{cm} \) Length of the hypotenuse: \( \square \mathrm{cm} \)

is it at 1530 hours? Jack drives north at \( 80 \mathrm{~km} / \mathrm{h} \) for 2 hours. He then turns and drives east at the same speed for 3 hours. (a) To the nearest degree, what is Jack's true bearing from his original position? (b) If Jack could drive from his current position straight back to his starting position: (i) how far would he travel, to the nearest kilometre (ii) what true bearing should he follow?

The shorter leg of a right triangle is 5 m shorter than the longer leg. The hypotenuse is 5 m longer than the longer leg. Find the side lengths of the triangle. Length of the shorter leg: \( \square \mathrm{m} \) Length of the longer leg: \( \square \mathrm{m} \) Length of the hypotenuse: \( \square \mathrm{m} \)

506 Un trapezio isoscele \( A B C D \) ha gli angoli adiacenti alla base maggiore \( A B \) di \( 45^{\circ} \). La somma della base mag- giore e del doppio della minore è 21 cm , mentre la som- ma della base minore e dell'altezza è 8 cm . Determina l'area del trapezio. [ \( \left.24 \mathrm{~cm}^{2}\right] \)