Q71
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
AnswerC.
36
D.
66
Answer: Option B
Solution
Answer: Option B
Solution:
Since, AB2 = AD × AC
AB2 = 6 × 11 = 66 cm
And, BD2 = AD × DC = 6 × 5 = 30
∴ AB2 + BD2 = 66 + 30 = 96