45. La somma dell'ipotenusa e di un cateto di un triangolo rettangolo misura 49 cm e la loro differenza misura 9 cm. Calcola il perimetro e l'area del triangolo. \[ \left[70 \mathrm{~cm} ; 210 \mathrm{~cm}^{2}\right] \]

Determine the area of triangle \( A B C \) when \( a=3, b=5 \) and \( \angle C=72^{\circ} \)

26) En un triángulo \( A B C \), se traza la altura \( \overline{B H} \). SI: "D", "E" y "F" son puntos medios de \( \overline{A B} \); \( \overline{B C} \) y \( \overline{A C} \) respectivamente y se sabe que \( E F \) \( =6 \mathrm{~cm} \). Halle la medida de DH . a) 12 cm b) 14 cm c) 6 cm d) 8 cm e) 10 cm

7. Sachin lives in a multistoried apartment. One day he was flying his kite firmy the road in front of his apartment. He was at a distance of 8 m from the baseft Also, the kite was just touching the top of the apartment. The length of the stiment (a) Find the height of the building. (b) As per your opinion, which values are missing in Sachin?

17. If 3 angles of a quadrilateral is added and the result \( 280^{\circ} \). Find the fourth angle.

11. Adott az \( A B=4 \mathrm{~cm} \) szakasz. Vedd fel az \( A B \) egyenes egyik oldalán az \( E, F \) és \( G \) pontokat úgy, hogy \( E A=E B=3 \mathrm{~cm}, F A=F B=5 \mathrm{~cm} \) és \( G A=G B=7 \mathrm{~cm} \) legyen. Igazold, hogy: a) az \( E, F \) és \( G \) kollineáris pontok; b) a \( G E \) egyenes az \( A B \) szakasz felezőmerôlegese.