In a right triangle ABC, right angled at B, altitude BD is drawn to the hypotenuse AC of the triangle. If AD = 6 cm, CD = 5 cm, then find the value of AB2 + BD2 (in cm).
A. 30
B. 96
C. 36
D. 66
Answer: Option B
Solution(By Examveda Team)

Since, AB2 = AD × AC
AB2 = 6 × 11 = 66 cm
And, BD2 = AD × DC = 6 × 5 = 30
∴ AB2 + BD2 = 66 + 30 = 96
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