Question

V rombe ABCD dlinna diagonali ravna 10cm, a diagonali BD- 24cm. O- tocka peresecenija diagonalej. Vicilitj dlinnu storoni romba. Sinus ugla ADO.

Answer 1

Сторона ромба равна $AD= sqrt{(frac{BD }{2})^{2}+ (frac{AC}{2})^{2}} = sqrt{(frac{24 }{2})^{2}+ (frac{10}{2})^{2}} = sqrt{12^{2}+ 5^{2}} =13cm$

$SinADO= frac{AO}{AD}= frac{5}{13}$