Inip In un rettangolo un lato misura 1 unità più dell'altro. Detta \( x \) la misura del lato minore, esprimi, in funzione di larea di un quadrato che ha lo stesso perimetro del rettangolo.

Calcular el volumen de un cilindro dado si se corta a través de su dirección vertical, formando cross sections semicirculares con un diámetro de 6 unidades.

A right triangle has one angle measuring 45 degrees. If the length of one leg is 7 units, calculate the length of the other leg.

Select all of the options which are true of the perpendicular bisector of line AB. It is a fixed distance from line AB It meets line AB at \( 90^{\circ} \quad \) It passes through \( A \) It meets line AB at \( 180^{\circ} \) It passes through B It does not meet line AB

Soit MNP un triangle tels que : \( \mathrm{MN}=6 \mathrm{~cm} ; \mathrm{NP}=4 \mathrm{~cm} \) et \( \mathrm{MP}=7 \mathrm{~cm} \). Construire les médianes de ce triangle

b) Prove the following by vector method. Measure of the angle between two diagonals of a cube is \( \cos ^{-1} \frac{1}{3} \)