Question

In triangle ABD in which Angle 90 degree is angle dab and ac is perpendicular to bd prove that ad square is equal to bd multiply cd

Answer 1

Answer:

Explanation:

in ΔADC and ΔDAB,

∠ADC=∠ADB (common)

∠DAB=∠ACD= 90° (AC⊥BD)

∴Bu AA Similarity criterion, ΔADB is similar to ΔCDA

⇒AD/CD= DB/DA= AB/AC (CPST)

⇒AD²= CD × BD

Hence, proved