Given a triangle ABC Angle C = 90 °. Angle В = 45 ° СD-height it is equal to 8 cm Angle СDB = 90 °. Find AB.

CD-median => AD = DB ABC – rectangular => by the height theorem => AD * DB = CD ^ 2 => AD * AD = 8 ^ 2 => AD ^ 2 = 64 => AD = 8 => AB = 8 * 2 => AB = 16 cm.



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