Formulera satsen, bevisa sedan satsen. Motivera tydligt vilka andra geometriska satser och samband du stödjer ditt resonemang på. Redovisa uppgiften på ett omönstrat papper.

Stabilisci se le seguenti quaterne di numeri rappresentano le misure in centimetri delle lunghezze dei lati di un quadrilatero. Se si, calcola it perimetro del quadrilatero. a \( 13,24,7,41 \) b \( 3,10,8,22 \) e \( 11,9,9,15 \)

296. Il lato, l'altezza e una diagonale di un rombo misurano, rispettivamente, \( 35 \mathrm{~cm}, 33,6 \mathrm{~cm} \) e 56 cm . Calcola la misura dell'altra diagonale.

AFerris wheel has a radius r of 24.5 feet. The height of the tower \( t \) is 30.8 feet. The horizontal distance d from the origin to the base of the tower which lies to the right of the origin is 43.7 feet. Find the standard form of the equation of the circle represented by the Ferris wheel. The standard form of the equation of the circle represented by the Ferris wheel is (Do not type units. Type any numbers as decimals. Use the variables \( x \) and \( y \).

A sector has radius 12 m and area \( 64 \pi \mathrm{~m}^{2} \). What is the measure, in degrees, of the central angle of the sector?

A sector has central angle \( \frac{11}{13} \pi \) and radius 22 . Find the area of the sector. Give your answer in terms of \( \pi \) or as a decimal rounded to two decimal places.