3 In un triangolo rettangolo le proiezioni dei ca- teti sull'ipotenusa misurano \( 7,2 \mathrm{~m} \) e \( 12,8 \mathrm{~m} \). Calcola la misura dell'altezza relativa all'ipo- tenusa. [9,6 m\( ] \)

3. Calcola l'area del rettangolo \( A B C D \) sapendo che \( B D=35 \mathrm{~cm} \) e \( C H=16,8 \mathrm{~cm} \). \( \quad\left[588 \mathrm{~cm}^{2}\right] \)

Question A 30 foot ladder is set against the side of a house so that it reaches up 24 feet. If Alexander grabs the ladder at its base and pulls it 10 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft .) Round to the nearest tenth of a foot.

Whoose the correct answer? (1) if \( A(3,5), B(7,1) \) and \( C \) is the midpoint of \( \overline{A B} \) then \( C= \).

2.3.2 Prove that \( T U \| R S \).

In the diagram, \( Q R \| S T, T \hat{S} R=42^{\circ}, U \hat{T} V=82^{\circ}, S \hat{T} R=y, S \hat{R} Q=x \), and \( T \hat{R} S=x+40^{\circ} \)